76368960 has 112 divisors (see below), whose sum is σ = 269443200. Its totient is φ = 20362752.

The previous prime is 76368959. The next prime is 76368967. The reversal of 76368960 is 6986367.

76368960 is a `hidden beast` number, since 7 + 636 + 8 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76368967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221 + ... + 13059.

Almost surely, 2^76368960 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 76368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134721600).

76368960 is an abundant number, since it is smaller than the sum of its proper divisors (193074240).

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

76368960 is a wasteful number, since it uses less digits than its factorization.

76368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76368960 is about 8738.9335733830. The cubic root of 76368960 is about 424.2667124581.

The spelling of 76368960 in words is "seventy-six million, three hundred sixty-eight thousand, nine hundred sixty".