76790688 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 22975488.

The previous prime is 76790669. The next prime is 76790731. The reversal of 76790688 is 88609767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 76790688.

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, 45345 + ... + 47007.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^76790688 is an apocalyptic number.

76790688 is a gapful number since it is divisible by the number (78) 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 76790688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

76790688 is an abundant number, since it is smaller than the sum of its proper divisors (146291808).

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

76790688 is a wasteful number, since it uses less digits than its factorization.

76790688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 76790688 is about 8763.0296130961. The cubic root of 76790688 is about 425.0462473318.

The spelling of 76790688 in words is "seventy-six million, seven hundred ninety thousand, six hundred eighty-eight".