76857061120 has 288 divisors, whose sum is σ = 222129492480. Its totient is φ = 24889835520.

The previous prime is 76857061117. The next prime is 76857061199. The reversal of 76857061120 is 2116075867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112528299 + ... + 112528981.

It is an arithmetic number, because the mean of its divisors is an integer number (771282960).

Almost surely, 2^76857061120 is an apocalyptic number.

76857061120 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 76857061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111064746240).

76857061120 is an abundant number, since it is smaller than the sum of its proper divisors (145272431360).

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

76857061120 is a wasteful number, since it uses less digits than its factorization.

76857061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 76857061120 in words is "seventy-six billion, eight hundred fifty-seven million, sixty-one thousand, one hundred twenty".