77032892304 has 135 divisors (see below), whose sum is σ = 218695733139. Its totient is φ = 25312377600.

The previous prime is 77032892297. The next prime is 77032892333. The reversal of 77032892304 is 40329823077.

The square root of 77032892304 is 277548.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61577429904 + 15455462400 = 248148^2 + 124320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77032892304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 336388062 + ... + 336388290.

Almost surely, 2^77032892304 is an apocalyptic number.

77032892304 is the 277548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77032892304

77032892304 is an abundant number, since it is smaller than the sum of its proper divisors (141662840835).

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

77032892304 is a wasteful number, since it uses less digits than its factorization.

77032892304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 77032892304 in words is "seventy-seven billion, thirty-two million, eight hundred ninety-two thousand, three hundred four".