Answer
80000
Work Step by Step
We can put 8 different digits in the first place (all digits, excluding zero and one).
We can put 10 different digits in the second place (all digits).
We can put 10 different digits in the third place (all digits).
We can put 10 different digits in the fourth place (all digits).
We can put 10 different digits in the fifth place (all digits).
The number of five-digit numbers is the variation of these five:
$8\times 10\times 10\times 10\times 10=80000$