I know it has 252 total positive factors, but how many are even?

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Thanks!

Here's a hint - it's easier to figure out how many of the factors are odd.

There's a trick to finding how many divisors a numbers has by looking at the exponents of its prime factorization.

84,000,000=2^{8}\cdot 3^{1}\cdot 5^{6}\cdot 7^{1}

Now, add 1 to each exponent and multiply.

I bet you get 252.

This is the total number of divisors including 1 and the number itself. Not just the even ones.

The divisors that are even have at least one 2.

Can you get it now?