76901901120 has 896 divisors, whose sum is σ = 320230195200. Its totient is φ = 17169408000.

The previous prime is 76901901079. The next prime is 76901901133. The reversal of 76901901120 is 2110910967.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66812545 + ... + 66813695.

Almost surely, 2^76901901120 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 76901901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160115097600).

76901901120 is an abundant number, since it is smaller than the sum of its proper divisors (243328294080).

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

76901901120 is a wasteful number, since it uses less digits than its factorization.

76901901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 76901901120 in words is "seventy-six billion, nine hundred one million, nine hundred one thousand, one hundred twenty".