875969920 has 256 divisors, whose sum is σ = 2590963200. Its totient is φ = 276480000.

The previous prime is 875969909. The next prime is 875969921. The reversal of 875969920 is 29969578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875969921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489795 + ... + 3490045.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^875969920 is an apocalyptic number.

875969920 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 875969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

875969920 is an abundant number, since it is smaller than the sum of its proper divisors (1714993280).

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

875969920 is a wasteful number, since it uses less digits than its factorization.

875969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The square root of 875969920 is about 29596.7890150266. The cubic root of 875969920 is about 956.8188685444.

The spelling of 875969920 in words is "eight hundred seventy-five million, nine hundred sixty-nine thousand, nine hundred twenty".