875980512 has 144 divisors (see below), whose sum is σ = 2758758912. Its totient is φ = 261423360.

The previous prime is 875980499. The next prime is 875980537. The reversal of 875980512 is 215089578.

It is a happy number.

875980512 is a `hidden beast` number, since 8 + 7 + 59 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210193 + ... + 214319.

It is an arithmetic number, because the mean of its divisors is an integer number (19158048).

Almost surely, 2^875980512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875980512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379379456).

875980512 is an abundant number, since it is smaller than the sum of its proper divisors (1882778400).

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

875980512 is a wasteful number, since it uses less digits than its factorization.

875980512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 875980512 is about 29596.9679528157. The cubic root of 875980512 is about 956.8227250636.

The spelling of 875980512 in words is "eight hundred seventy-five million, nine hundred eighty thousand, five hundred twelve".