76579985560320 has 1728 divisors, whose sum is σ = 313436842887168. Its totient is φ = 17055940608000.

The previous prime is 76579985560261. The next prime is 76579985560321. The reversal of 76579985560320 is 2306558997567.

76579985560320 is a `hidden beast` number, since 7 + 6 + 5 + 7 + 9 + 9 + 8 + 5 + 5 + 603 + 2 + 0 = 666.

76579985560320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (76579985560321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15753954690 + ... + 15753959550.

It is an arithmetic number, because the mean of its divisors is an integer number (181387061856).

Almost surely, 2^{76579985560320} 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 76579985560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156718421443584).

76579985560320 is an abundant number, since it is smaller than the sum of its proper divisors (236856857326848).

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

76579985560320 is a wasteful number, since it uses less digits than its factorization.

76579985560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 76579985560320 in words is "seventy-six trillion, five hundred seventy-nine billion, nine hundred eighty-five million, five hundred sixty thousand, three hundred twenty".