77413045824 has 63 divisors (see below), whose sum is σ = 221909660193. Its totient is φ = 25802122752.

The previous prime is 77413045783. The next prime is 77413045889. The reversal of 77413045824 is 42854031477.

The square root of 77413045824 is 278232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73614542400 + 3798503424 = 271320^2 + 61632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77413045824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6671772 + ... + 6683364.

Almost surely, 2^77413045824 is an apocalyptic number.

77413045824 is the 278232-nd square number.

It is an amenable number.

77413045824 is an abundant number, since it is smaller than the sum of its proper divisors (144496614369).

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

77413045824 is an frugal number, since it uses more digits than its factorization.

77413045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23204 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 77413045824 in words is "seventy-seven billion, four hundred thirteen million, forty-five thousand, eight hundred twenty-four".