76368768 has 64 divisors (see below), whose sum is σ = 231841920. Its totient is φ = 21818880.

The previous prime is 76368757. The next prime is 76368769. The reversal of 76368768 is 86786367.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76368768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76368769) 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, 11518 + ... + 16893.

It is an arithmetic number, because the mean of its divisors is an integer number (3622530).

Almost surely, 2^76368768 is an apocalyptic number.

It is an amenable number.

76368768 is an abundant number, since it is smaller than the sum of its proper divisors (155473152).

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

76368768 is a wasteful number, since it uses less digits than its factorization.

76368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28435 (or 28423 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 76368768 is about 8738.9225880540. The cubic root of 76368768 is about 424.2663569067.

The spelling of 76368768 in words is "seventy-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".