77915013120 has 720 divisors, whose sum is σ = 319294230528. Its totient is φ = 17199267840.

The previous prime is 77915013119. The next prime is 77915013181. The reversal of 77915013120 is 2131051977.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159989517 + ... + 159990003.

Almost surely, 2^77915013120 is an apocalyptic number.

77915013120 is a gapful number since it is divisible by the number (70) 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 77915013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159647115264).

77915013120 is an abundant number, since it is smaller than the sum of its proper divisors (241379217408).

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

77915013120 is a wasteful number, since it uses less digits than its factorization.

77915013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 77915013120 in words is "seventy-seven billion, nine hundred fifteen million, thirteen thousand, one hundred twenty".