75904960 has 28 divisors (see below), whose sum is σ = 180749448. Its totient is φ = 30361856.

The previous prime is 75904951. The next prime is 75904967. The reversal of 75904960 is 6940957.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75904967) 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 3 ways as a sum of consecutive naturals, for example, 118282 + ... + 118921.

Almost surely, 2^75904960 is an apocalyptic number.

It is an amenable number.

75904960 is an abundant number, since it is smaller than the sum of its proper divisors (104844488).

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

75904960 is a wasteful number, since it uses less digits than its factorization.

75904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237220 (or 237210 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 75904960 is about 8712.3452640492. The cubic root of 75904960 is about 423.4057178117.

The spelling of 75904960 in words is "seventy-five million, nine hundred four thousand, nine hundred sixty".