77831400528 has 400 divisors, whose sum is σ = 271100434176. Its totient is φ = 21076070400.

The previous prime is 77831400503. The next prime is 77831400547. The reversal of 77831400528 is 82500413877.

77831400528 is a `hidden beast` number, since 7 + 7 + 83 + 1 + 40 + 0 + 528 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 23576478 + ... + 23579778.

Almost surely, 2^77831400528 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 77831400528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135550217088).

77831400528 is an abundant number, since it is smaller than the sum of its proper divisors (193269033648).

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

77831400528 is a wasteful number, since it uses less digits than its factorization.

77831400528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 77831400528 in words is "seventy-seven billion, eight hundred thirty-one million, four hundred thousand, five hundred twenty-eight".