75844 has 12 divisors (see below), whose sum is σ = 135184. Its totient is φ = 37224.

The previous prime is 75833. The next prime is 75853. The reversal of 75844 is 44857.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

75844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 409.

2⁷⁵⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

75844 is a deficient number, since it is larger than the sum of its proper divisors (59340).

75844 is a wasteful number, since it uses less digits than its factorization.

75844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 75844 is about 275.3978939644. The cubic root of 75844 is about 42.3292340393.

It can be divided in two parts, 75 and 844, that added together give a palindrome (919).

The spelling of 75844 in words is "seventy-five thousand, eight hundred forty-four".