880829664 has 288 divisors, whose sum is σ = 2890419840. Its totient is φ = 232657920.

The previous prime is 880829647. The next prime is 880829711. The reversal of 880829664 is 466928088.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2868999 + ... + 2869305.

It is an arithmetic number, because the mean of its divisors is an integer number (10036180).

Almost surely, 2^880829664 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 880829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445209920).

880829664 is an abundant number, since it is smaller than the sum of its proper divisors (2009590176).

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

880829664 is a wasteful number, since it uses less digits than its factorization.

880829664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 880829664 is about 29678.7746377778. The cubic root of 880829664 is about 958.5850335280.

The spelling of 880829664 in words is "eight hundred eighty million, eight hundred twenty-nine thousand, six hundred sixty-four".