76859228160 has 1080 divisors, whose sum is σ = 325039727376. Its totient is φ = 17199267840.

The previous prime is 76859228129. The next prime is 76859228189. The reversal of 76859228160 is 6182295867.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76859228097 and 76859228106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5912248314 + ... + 5912248326.

Almost surely, 2^76859228160 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 76859228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162519863688).

76859228160 is an abundant number, since it is smaller than the sum of its proper divisors (248180499216).

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

76859228160 is an frugal number, since it uses more digits than its factorization.

76859228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 76859228160 in words is "seventy-six billion, eight hundred fifty-nine million, two hundred twenty-eight thousand, one hundred sixty".