75884 has 12 divisors (see below), whose sum is σ = 135408. Its totient is φ = 37200.

The previous prime is 75883. The next prime is 75913. The reversal of 75884 is 48857.

It is a self number, because there is not a number n which added to its sum of digits gives 75884.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75884.

It is not an unprimeable number, because it can be changed into a prime (75883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2⁷⁵⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

75884 is a deficient number, since it is larger than the sum of its proper divisors (59524).

75884 is a wasteful number, since it uses less digits than its factorization.

75884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 75884 is about 275.4705065883. The cubic root of 75884 is about 42.3366741875.

It can be divided in two parts, 75 and 884, that added together give a palindrome (959).

The spelling of 75884 in words is "seventy-five thousand, eight hundred eighty-four".