76017993280 has 112 divisors (see below), whose sum is σ = 185614513200. Its totient is φ = 29642416128.

The previous prime is 76017993263. The next prime is 76017993313. The reversal of 76017993280 is 8239971067.

It can be written as a sum of positive squares in 8 ways, for example, as 4026663936 + 71991329344 = 63456^2 + 268312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2648446 + ... + 2676994.

Almost surely, 2^76017993280 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 76017993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92807256600).

76017993280 is an abundant number, since it is smaller than the sum of its proper divisors (109596519920).

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

76017993280 is a wasteful number, since it uses less digits than its factorization.

76017993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28776 (or 28766 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 76017993280 in words is "seventy-six billion, seventeen million, nine hundred ninety-three thousand, two hundred eighty".