876580992 has 288 divisors, whose sum is σ = 2999849580. Its totient is φ = 244887552.

The previous prime is 876580987. The next prime is 876581003. The reversal of 876580992 is 299085678.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 126697536 = 27384^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2991598 + ... + 2991890.

Almost surely, 2^876580992 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 876580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499924790).

876580992 is an abundant number, since it is smaller than the sum of its proper divisors (2123268588).

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

876580992 is a wasteful number, since it uses less digits than its factorization.

876580992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 876580992 is about 29607.1104973113. The cubic root of 876580992 is about 957.0413074285.

The spelling of 876580992 in words is "eight hundred seventy-six million, five hundred eighty thousand, nine hundred ninety-two".