76500979588960 has 768 divisors, whose sum is σ = 200203508736000. Its totient is φ = 27515431157760.

The previous prime is 76500979588927. The next prime is 76500979588963. The reversal of 76500979588960 is 6988597900567.

76500979588960 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 (79).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76500979588963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297669181152 + ... + 297669181408.

It is an arithmetic number, because the mean of its divisors is an integer number (260681652000).

Almost surely, 2^{76500979588960} 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 76500979588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101754368000).

76500979588960 is an abundant number, since it is smaller than the sum of its proper divisors (123702529147040).

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

76500979588960 is a wasteful number, since it uses less digits than its factorization.

76500979588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 79.

The spelling of 76500979588960 in words is "seventy-six trillion, five hundred billion, nine hundred seventy-nine million, five hundred eighty-eight thousand, nine hundred sixty".