876796800 has 576 divisors, whose sum is σ = 3469599360. Its totient is φ = 192614400.

The previous prime is 876796793. The next prime is 876796831. The reversal of 876796800 is 8697678.

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 71 ways as a sum of consecutive naturals, for example, 38121589 + ... + 38121611.

It is an arithmetic number, because the mean of its divisors is an integer number (6023610).

Almost surely, 2^876796800 is an apocalyptic number.

876796800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734799680).

876796800 is an abundant number, since it is smaller than the sum of its proper divisors (2592802560).

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

876796800 is a wasteful number, since it uses less digits than its factorization.

876796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 876796800 is about 29610.7548029428. The cubic root of 876796800 is about 957.1198399031.

The spelling of 876796800 in words is "eight hundred seventy-six million, seven hundred ninety-six thousand, eight hundred".