76872960 has 108 divisors (see below), whose sum is σ = 266012292. Its totient is φ = 20496384.

The previous prime is 76872959. The next prime is 76872979. The reversal of 76872960 is 6927867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 64256256 = 3552^2 + 8016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8184 + ... + 14856.

Almost surely, 2^76872960 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 76872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133006146).

76872960 is an abundant number, since it is smaller than the sum of its proper divisors (189139332).

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

76872960 is a wasteful number, since it uses less digits than its factorization.

76872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 76872960 is about 8767.7226233498. The cubic root of 76872960 is about 425.1979884899.

The spelling of 76872960 in words is "seventy-six million, eight hundred seventy-two thousand, nine hundred sixty".