876966400 has 120 divisors (see below), whose sum is σ = 2193524784. Its totient is φ = 347443200.

The previous prime is 876966359. The next prime is 876966443. The reversal of 876966400 is 4669678.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676539 + ... + 1677061.

Almost surely, 2^876966400 is an apocalyptic number.

876966400 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 876966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096762392).

876966400 is an abundant number, since it is smaller than the sum of its proper divisors (1316558384).

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

876966400 is a wasteful number, since it uses less digits than its factorization.

876966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 876966400 is about 29613.6184887967. The cubic root of 876966400 is about 957.1815482561.

The spelling of 876966400 in words is "eight hundred seventy-six million, nine hundred sixty-six thousand, four hundred".