76960832 has 56 divisors (see below), whose sum is σ = 165588696. Its totient is φ = 35278848.

The previous prime is 76960831. The next prime is 76960847. The reversal of 76960832 is 23806967.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 75759616 = 1096^2 + 8704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76960832.

It is not an unprimeable number, because it can be changed into a prime (76960831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193658 + ... + 194054.

It is an arithmetic number, because the mean of its divisors is an integer number (2956941).

Almost surely, 2^76960832 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 76960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82794348).

76960832 is an abundant number, since it is smaller than the sum of its proper divisors (88627864).

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

76960832 is a wasteful number, since it uses less digits than its factorization.

76960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 76960832 is about 8772.7322995746. The cubic root of 76960832 is about 425.3599386753.

The spelling of 76960832 in words is "seventy-six million, nine hundred sixty thousand, eight hundred thirty-two".