76940896032 has 1152 divisors, whose sum is σ = 312744499200. Its totient is φ = 18085939200.

The previous prime is 76940896013. The next prime is 76940896033. The reversal of 76940896032 is 23069804967.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76940896032.

It is not an unprimeable number, because it can be changed into a prime (76940896033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429837319 + ... + 429837497.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 2^76940896032 is an apocalyptic number.

76940896032 is a gapful number since it is divisible by the number (72) 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 76940896032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156372249600).

76940896032 is an abundant number, since it is smaller than the sum of its proper divisors (235803603168).

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

76940896032 is a wasteful number, since it uses less digits than its factorization.

76940896032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 76940896032 in words is "seventy-six billion, nine hundred forty million, eight hundred ninety-six thousand, thirty-two".