876934800 has 720 divisors, whose sum is σ = 3885822720. Its totient is φ = 178421760.

The previous prime is 876934769. The next prime is 876934813. The reversal of 876934800 is 8439678.

It is a happy number.

876934800 is a `hidden beast` number, since 87 + 6 + 93 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9853156 + ... + 9853244.

It is an arithmetic number, because the mean of its divisors is an integer number (5396976).

Almost surely, 2^876934800 is an apocalyptic number.

876934800 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 876934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942911360).

876934800 is an abundant number, since it is smaller than the sum of its proper divisors (3008887920).

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

876934800 is a wasteful number, since it uses less digits than its factorization.

876934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 876934800 is about 29613.0849456790. The cubic root of 876934800 is about 957.1700513123.

The spelling of 876934800 in words is "eight hundred seventy-six million, nine hundred thirty-four thousand, eight hundred".