875920 has 20 divisors (see below), whose sum is σ = 2036700. Its totient is φ = 350336.

The previous prime is 875893. The next prime is 875923. The reversal of 875920 is 29578.

875920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 719104 = 396^2 + 848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5395 + ... + 5554.

It is an arithmetic number, because the mean of its divisors is an integer number (101835).

2⁸⁷⁵⁹²⁰ is an apocalyptic number.

875920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

875920 is an abundant number, since it is smaller than the sum of its proper divisors (1160780).

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

875920 is a wasteful number, since it uses less digits than its factorization.

875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 875920 is about 935.9059781837. The cubic root of 875920 is about 95.6800692385.

The spelling of 875920 in words is "eight hundred seventy-five thousand, nine hundred twenty".