875085120 has 840 divisors, whose sum is σ = 3973168584. Its totient is φ = 181149696.

The previous prime is 875085097. The next prime is 875085137. The reversal of 875085120 is 21580578.

875085120 is a `hidden beast` number, since 87 + 508 + 51 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 825297984 = 7056^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16511014 + ... + 16511066.

Almost surely, 2^875085120 is an apocalyptic number.

875085120 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 875085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986584292).

875085120 is an abundant number, since it is smaller than the sum of its proper divisors (3098083464).

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

875085120 is a wasteful number, since it uses less digits than its factorization.

875085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 875085120 is about 29581.8376711116. The cubic root of 875085120 is about 956.4966053714.

The spelling of 875085120 in words is "eight hundred seventy-five million, eighty-five thousand, one hundred twenty".