Factor family

First we need to find all prime factors (you will need some paper to do that...) What you'll find after making the tree of primes will look somehow like this:

$78702624 | 2$

$39351312 | 2$

$19675656 | 2$

$9837828 | 2$

$4918914 | 2$

$2459457 | 3$

$819819 | 3$

$273273 | 3$

$91091 | 7$

$13013 | 7$

$1859 | 11$

$169 | 13$

$13 | 13$

$1$

Then, we should write every prime number, however, with exponential signs:

$2^{5} \times 3^{3} \times 7^{2} \times 11^{1} \times 13^{2} = 78702624$

Then we take all exponents, add one to each of them and multiply all of them with each other. The result will be the answer of the question:

$(5 + 1) \times (3 + 1) \times (2 + 1) \times (1 + 1) \times (2 + 1) = \boxed{432}$