How many positive three-digit integers with each digit greater than 4 are divisible by 8?
+128475 5 6 8 6 5 6 7 6 8 8 5 6 9 6 8
5 7 6 6 8 8 7 7 6 8 8 8 9 7 6
6 9 6 8 9 6
5568 , 5576 , 5656 , 5688 , 5696 , 5768 , 5776 , 5856 , 5888 , 5896 , 5968 , 5976 , 6568 , 6576 , 6656 , 6688 , 6696 , 6768 , 6776 , 6856 , 6888 , 6896 , 6968 , 6976 , 7568 , 7576 , 7656 , 7688 , 7696 , 7768 , 7776 , 7856 , 7888 , 7896 , 7968 , 7976 , 8568 , 8576 , 8656 , 8688 , 8696 , 8768 , 8776 , 8856 , 8888 , 8896 , 8968 , 8976 , 9568 , 9576 , 9656 , 9688 , 9696 , 9768 , 9776 , 9856 , 9888 , 9896 , 9968 , 9976 , Total = 60 such numbers.
