76116142920 has 256 divisors, whose sum is σ = 237105792000. Its totient is φ = 19537330176.

The previous prime is 76116142913. The next prime is 76116142943. The reversal of 76116142920 is 2924161167.

It is a super-2 number, since 2×76116142920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98980296 + ... + 98981064.

It is an arithmetic number, because the mean of its divisors is an integer number (926194500).

Almost surely, 2^76116142920 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 76116142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896000).

76116142920 is an abundant number, since it is smaller than the sum of its proper divisors (160989649080).

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

76116142920 is a wasteful number, since it uses less digits than its factorization.

76116142920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 76116142920 in words is "seventy-six billion, one hundred sixteen million, one hundred forty-two thousand, nine hundred twenty".