76981904 has 40 divisors (see below), whose sum is σ = 154718520. Its totient is φ = 37075968.

The previous prime is 76981841. The next prime is 76981909. The reversal of 76981904 is 40918967.

It can be written as a sum of positive squares in 4 ways, for example, as 34105600 + 42876304 = 5840^2 + 6548^2 .

It is not an unprimeable number, because it can be changed into a prime (76981909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63932 + ... + 65124.

It is an arithmetic number, because the mean of its divisors is an integer number (3867963).

Almost surely, 2^76981904 is an apocalyptic number.

76981904 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

76981904 is an abundant number, since it is smaller than the sum of its proper divisors (77736616).

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

76981904 is a wasteful number, since it uses less digits than its factorization.

76981904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 76981904 is about 8773.9332115078. The cubic root of 76981904 is about 425.3987565452.

The spelling of 76981904 in words is "seventy-six million, nine hundred eighty-one thousand, nine hundred four".