75814920 has 64 divisors (see below), whose sum is σ = 252720000. Its totient is φ = 20217024.

The previous prime is 75814919. The next prime is 75814979. The reversal of 75814920 is 2941857.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34020 + ... + 36179.

It is an arithmetic number, because the mean of its divisors is an integer number (3948750).

Almost surely, 2^75814920 is an apocalyptic number.

It is an amenable number.

75814920 is an abundant number, since it is smaller than the sum of its proper divisors (176905080).

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

75814920 is a wasteful number, since it uses less digits than its factorization.

75814920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70219 (or 70209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 75814920 is about 8707.1763505743. The cubic root of 75814920 is about 423.2382340924.

The spelling of 75814920 in words is "seventy-five million, eight hundred fourteen thousand, nine hundred twenty".