876609216 has 560 divisors, whose sum is σ = 3319272000. Its totient is φ = 227598336.

The previous prime is 876609193. The next prime is 876609247. The reversal of 876609216 is 612906678.

It is a super-2 number, since 2×876609216² = 1536887435152269312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30227890 + ... + 30227918.

Almost surely, 2^876609216 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 876609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659636000).

876609216 is an abundant number, since it is smaller than the sum of its proper divisors (2442662784).

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

876609216 is a wasteful number, since it uses less digits than its factorization.

876609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 876609216 is about 29607.5871357326. The cubic root of 876609216 is about 957.0515788672.

The spelling of 876609216 in words is "eight hundred seventy-six million, six hundred nine thousand, two hundred sixteen".