875869920 has 288 divisors, whose sum is σ = 3253618368. Its totient is φ = 213663744.

The previous prime is 875869849. The next prime is 875869931. The reversal of 875869920 is 29968578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905277 + ... + 906243.

It is an arithmetic number, because the mean of its divisors is an integer number (11297286).

Almost surely, 2^875869920 is an apocalyptic number.

875869920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626809184).

875869920 is an abundant number, since it is smaller than the sum of its proper divisors (2377748448).

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

875869920 is a wasteful number, since it uses less digits than its factorization.

875869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 875869920 is about 29595.0995943585. The cubic root of 875869920 is about 956.7824572758.

The spelling of 875869920 in words is "eight hundred seventy-five million, eight hundred sixty-nine thousand, nine hundred twenty".