875989120 has 128 divisors (see below), whose sum is σ = 2167704000. Its totient is φ = 338300928.

The previous prime is 875989111. The next prime is 875989157. The reversal of 875989120 is 21989578.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825166 + ... + 3825394.

Almost surely, 2^875989120 is an apocalyptic number.

875989120 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 875989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083852000).

875989120 is an abundant number, since it is smaller than the sum of its proper divisors (1291714880).

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

875989120 is a wasteful number, since it uses less digits than its factorization.

875989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The square root of 875989120 is about 29597.1133727599. The cubic root of 875989120 is about 956.8258591908.

It can be divided in two parts, 8759 and 89120, that added together give a palindrome (97879).

The spelling of 875989120 in words is "eight hundred seventy-five million, nine hundred eighty-nine thousand, one hundred twenty".