76598804952 has 384 divisors, whose sum is σ = 243603763200. Its totient is φ = 22231756800.

The previous prime is 76598804917. The next prime is 76598804959. The reversal of 76598804952 is 25940889567.

76598804952 is a `hidden beast` number, since 7 + 65 + 9 + 8 + 80 + 495 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76598804952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76598804959) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44507452 + ... + 44509172.

It is an arithmetic number, because the mean of its divisors is an integer number (634384800).

Almost surely, 2^76598804952 is an apocalyptic number.

76598804952 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 76598804952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121801881600).

76598804952 is an abundant number, since it is smaller than the sum of its proper divisors (167004958248).

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

76598804952 is a wasteful number, since it uses less digits than its factorization.

76598804952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 76598804952 in words is "seventy-six billion, five hundred ninety-eight million, eight hundred four thousand, nine hundred fifty-two".