880125984 has 72 divisors (see below), whose sum is σ = 2531053980. Its totient is φ = 290070528.

The previous prime is 880125979. The next prime is 880126007. The reversal of 880125984 is 489521088.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 846810000 + 33315984 = 29100^2 + 5772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8464 + ... + 42800.

Almost surely, 2^880125984 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 880125984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265526990).

880125984 is an abundant number, since it is smaller than the sum of its proper divisors (1650927996).

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

880125984 is a wasteful number, since it uses less digits than its factorization.

880125984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34442 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 880125984 is about 29666.9173322743. The cubic root of 880125984 is about 958.3296997031.

The spelling of 880125984 in words is "eight hundred eighty million, one hundred twenty-five thousand, nine hundred eighty-four".