76845557232 has 480 divisors, whose sum is σ = 246687068160. Its totient is φ = 22197288960.

The previous prime is 76845557197. The next prime is 76845557263. The reversal of 76845557232 is 23275554867.

76845557232 is a `hidden beast` number, since 7 + 6 + 84 + 5 + 557 + 2 + 3 + 2 = 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 95 ways as a sum of consecutive naturals, for example, 187886244 + ... + 187886652.

It is an arithmetic number, because the mean of its divisors is an integer number (513931392).

Almost surely, 2^76845557232 is an apocalyptic number.

76845557232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76845557232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123343534080).

76845557232 is an abundant number, since it is smaller than the sum of its proper divisors (169841510928).

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

76845557232 is a wasteful number, since it uses less digits than its factorization.

76845557232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 76845557232 in words is "seventy-six billion, eight hundred forty-five million, five hundred fifty-seven thousand, two hundred thirty-two".