77875 has 16 divisors (see below), whose sum is σ = 112320. Its totient is φ = 52800.

The previous prime is 77867. The next prime is 77893. The reversal of 77875 is 57877.

It is a happy number.

It is not a de Polignac number, because 77875 - 2³ = 77867 is a prime.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 77875.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 831 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁷⁷⁸⁷⁵ is an apocalyptic number.

77875 is a deficient number, since it is larger than the sum of its proper divisors (34445).

77875 is an equidigital number, since it uses as much as digits as its factorization.

77875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 13720, while the sum is 34.

The square root of 77875 is about 279.0609252475. The cubic root of 77875 is about 42.7037505824.

Subtracting from 77875 its sum of digits (34), we obtain a square (77841 = 279²).

The spelling of 77875 in words is "seventy-seven thousand, eight hundred seventy-five".