Answer     $100$

The answer is $100$.

We apply the multiplication principles, starting from the thousands digit: There are $4$ choices: $2$, $4$, $6$, and $8$. Both the hundreds and tens digits have $5$ choices because $0$ is permissible. However, in order to make the resulting number divisible by $5$, the ones digit must be $0$ because $5$ is odd. Hence the final result is $$4\times 5\times 5\times 1 = \boxed{100}$$