How many even 3 digit integers greater than 700 with distinct non zero digits are there?

For numbers 710-720 there are 4 integers  (712,714,716 and 718)
       numbers 720-730 there are 3 (724,726,728)

for 730-740 ,  750-760,  there are 4 in each case.
     740-750 , 760-770, 780-790   there are  3 in each case
and for 790-800 there are  4.  None for 770-780.

so for numbers  700 - 800 we have a total of  28 integers which fit the requirements.

The number for integers 800 to 900 and 900 to 999 will also be 28 in each case. 

Answer is  3*28 = 84 answer.