diff -r ca1ddd365f5f Lib/random.py
--- a/Lib/random.py	Sat Aug 27 04:00:19 2016 +0000
+++ b/Lib/random.py	Wed Aug 31 23:09:05 2016 +0300
@@ -110,7 +110,14 @@
                 a = int.from_bytes(_urandom(2500), 'big')
             except NotImplementedError:
                 import time
-                a = int(time.time() * 256) # use fractional seconds
+                a = int(time.time() * 256)  # use fractional seconds
+
+        if version == 1 and isinstance(a, (str, bytes)):
+            x = ord(a[0]) << 7 if a else 0
+            for c in a:
+                x = ((1000003 * x) ^ ord(c)) & 0xFFFFFFFFFFFFFFFF
+            x ^= len(a)
+            a = -2 if x == -1 else x
 
         if version == 2:
             if isinstance(a, (str, bytes, bytearray)):
diff -r ca1ddd365f5f Lib/test/test_random.py
--- a/Lib/test/test_random.py	Sat Aug 27 04:00:19 2016 +0000
+++ b/Lib/test/test_random.py	Wed Aug 31 23:09:05 2016 +0300
@@ -323,8 +323,26 @@
              '0x1.1ebb4352e4c4dp-1', '0x1.1a7422abf9c11p-1'])
         self.gen.seed("the quick brown fox", version=2)
         self.assertEqual([self.gen.random().hex() for i in range(4)],
-            ['0x1.1239ddfb11b7cp-3', '0x1.b3cbb5c51b120p-4',
-             '0x1.8c4f55116b60fp-1', '0x1.63eb525174a27p-1'])
+                         ['0x1.1239ddfb11b7cp-3', '0x1.b3cbb5c51b120p-4',
+                          '0x1.8c4f55116b60fp-1', '0x1.63eb525174a27p-1'])
+
+    def test_bug_27706(self):
+        # Verify that version 1 seeds are unaffected by hash randomization
+
+        self.gen.seed('nofar', version=1)  # hash('nofar') == 5990528763808513177
+        self.assertEqual([self.gen.random().hex() for i in range(4)],
+                         ['0x1.8645314505ad7p-1', '0x1.afb1f82e40a40p-5',
+                          '0x1.2a59d2285e971p-1', '0x1.56977142a7880p-6'])
+
+        self.gen.seed('rachel', version=1)  # hash('rachel') == -9091735575445484789
+        self.assertEqual([self.gen.random().hex() for i in range(4)],
+                         ['0x1.0b294cc856fcdp-1', '0x1.2ad22d79e77b8p-3',
+                          '0x1.3052b9c072678p-2', '0x1.578f332106574p-3'])
+
+        self.gen.seed('', version=1)  # hash('') == 0
+        self.assertEqual([self.gen.random().hex() for i in range(4)],
+                         ['0x1.b0580f98a7dbep-1', '0x1.84129978f9c1ap-1',
+                          '0x1.aeaa51052e978p-2', '0x1.092178fb945a6p-2'])
 
     def test_setstate_first_arg(self):
         self.assertRaises(ValueError, self.gen.setstate, (1, None, None))
@@ -533,6 +551,7 @@
         self.assertTrue(stop < x <= start)
         self.assertEqual((x+stop)%step, 0)
 
+
 def gamma(z, sqrt2pi=(2.0*pi)**0.5):
     # Reflection to right half of complex plane
     if z < 0.5:
@@ -761,6 +780,8 @@
                 random.Random.__init__(self)
         Subclass(newarg=1)
 
+        def test_setstate_first_arg(self):
+            self.assertRaises(ValueError, self.gen.setstate, (1, None, None))
 
 if __name__ == "__main__":
     unittest.main()