76415878720 has 112 divisors (see below), whose sum is σ = 190371057408. Its totient is φ = 29186109440.

The previous prime is 76415878687. The next prime is 76415878733. The reversal of 76415878720 is 2787851467.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554679 + ... + 678601.

It is an arithmetic number, because the mean of its divisors is an integer number (1699741584).

Almost surely, 2^76415878720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76415878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95185528704).

76415878720 is an abundant number, since it is smaller than the sum of its proper divisors (113955178688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76415878720 is a wasteful number, since it uses less digits than its factorization.

76415878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124028 (or 124018 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The spelling of 76415878720 in words is "seventy-six billion, four hundred fifteen million, eight hundred seventy-eight thousand, seven hundred twenty".