diff --git a/lib/euidaccess.c b/lib/euidaccess.c
index aee693571c9..4f512f5af54 100644
--- a/lib/euidaccess.c
+++ b/lib/euidaccess.c
@@ -29,8 +29,11 @@
 #include <sys/types.h>
 #include <sys/stat.h>
 #include <unistd.h>
-
-#include "root-uid.h"
+#if (defined _WIN32 || defined __WIN32__) && ! defined __CYGWIN__
+# include <io.h>
+#else
+# include "root-uid.h"
+#endif
 
 #if HAVE_LIBGEN_H
 # include <libgen.h>
@@ -84,7 +87,9 @@ euidaccess (const char *file, int mode)
   return accessx (file, mode, ACC_SELF);
 #elif HAVE_EACCESS                      /* FreeBSD */
   return eaccess (file, mode);
-#else       /* Mac OS X, NetBSD, OpenBSD, HP-UX, Solaris, Cygwin, mingw, BeOS */
+#elif (defined _WIN32 || defined __WIN32__) && ! defined __CYGWIN__  /* mingw */
+  return _access (file, mode);
+#else              /* Mac OS X, NetBSD, OpenBSD, HP-UX, Solaris, Cygwin, BeOS */
 
   uid_t uid = getuid ();
   gid_t gid = getgid ();
diff --git a/lib/time_rz.c b/lib/time_rz.c
index c1eca888f2c..5293c7cf8dc 100644
--- a/lib/time_rz.c
+++ b/lib/time_rz.c
@@ -286,6 +286,21 @@ revert_tz (timezone_t tz)
 struct tm *
 localtime_rz (timezone_t tz, time_t const *t, struct tm *tm)
 {
+#ifdef HAVE_LOCALTIME_INFLOOP_BUG
+  /* The -67768038400665599 comes from:
+     https://lists.gnu.org/r/bug-gnulib/2017-07/msg00142.html
+     On affected platforms the greatest POSIX-compatible time_t value
+     that could return nonnull is 67768036191766798 (when
+     TZ="XXX24:59:59" it resolves to the year 2**31 - 1 + 1900, on
+     12-31 at 23:59:59), so test for that too while we're in the
+     neighborhood.  */
+  if (! (-67768038400665599 <= *t && *t <= 67768036191766798))
+    {
+      errno = EOVERFLOW;
+      return NULL;
+    }
+#endif
+
   if (!tz)
     return gmtime_r (t, tm);
   else
diff --git a/m4/time_rz.m4 b/m4/time_rz.m4
index 43781489786..af9fa02b57d 100644
--- a/m4/time_rz.m4
+++ b/m4/time_rz.m4
@@ -13,6 +13,38 @@ AC_DEFUN([gl_TIME_RZ],
   AC_REQUIRE([gl_HEADER_TIME_H_DEFAULTS])
   AC_REQUIRE([AC_STRUCT_TIMEZONE])
 
+  # Mac OS X 10.6 loops forever with some time_t values less
+  # than -67768038400665599.  See Bug#27706, Bug#27736, and
+  # https://lists.gnu.org/r/bug-gnulib/2017-07/msg00142.html
+  AC_CACHE_CHECK([whether localtime loops forever near extrema],
+    [gl_cv_func_localtime_infloop_bug],
+    [gl_cv_func_localtime_infloop_bug=no
+     AC_RUN_IFELSE(
+       [AC_LANG_PROGRAM(
+          [[#include <stdlib.h>
+            #include <string.h>
+            #include <unistd.h>
+            #include <time.h>
+          ]], [[
+            time_t t = -67768038400665600;
+            struct tm *tm;
+            char *tz = getenv ("TZ");
+            if (! (tz && strcmp (tz, "QQQ0") == 0))
+              return 0;
+            alarm (2);
+            tm = localtime (&t);
+            /* Use TM and *TM to suppress over-optimization.  */
+            return tm && tm->tm_isdst;
+          ]])],
+       [TZ=QQQ0 ./conftest$EXEEXT || gl_cv_func_localtime_infloop_bug=yes],
+       [],
+       [gl_cv_func_localtime_infloop_bug="guessing no"])])
+  if test "$gl_cv_func_localtime_infloop_bug" = yes; then
+      AC_DEFINE([HAVE_LOCALTIME_INFLOOP_BUG], 1,
+        [Define if localtime-like functions can loop forever on
+         extreme arguments.])
+  fi
+
   AC_CHECK_TYPES([timezone_t], [], [], [[#include <time.h>]])
   if test "$ac_cv_type_timezone_t" = yes; then
     HAVE_TIMEZONE_T=1