768075040 has 48 divisors (see below), whose sum is σ = 1831266360. Its totient is φ = 304404480.

The previous prime is 768075037. The next prime is 768075043. The reversal of 768075040 is 40570867.

It is a happy number.

768075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768075037) and next prime (768075043).

It can be written as a sum of positive squares in 4 ways, for example, as 684973584 + 83101456 = 26172^2 + 9116^2 .

It is not an unprimeable number, because it can be changed into a prime (768075043) 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, 4581 + ... + 39460.

Almost surely, 2^768075040 is an apocalyptic number.

It is an amenable number.

768075040 is an abundant number, since it is smaller than the sum of its proper divisors (1063191320).

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

768075040 is a wasteful number, since it uses less digits than its factorization.

768075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44165 (or 44157 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 768075040 is about 27714.1667744134. The cubic root of 768075040 is about 915.8012192368.

The spelling of 768075040 in words is "seven hundred sixty-eight million, seventy-five thousand, forty".