876800 has 54 divisors (see below), whose sum is σ = 2186058. Its totient is φ = 348160.

The previous prime is 876797. The next prime is 876817. The reversal of 876800 is 8678.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 802816 = 272^2 + 896^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6332 + ... + 6468.

2⁸⁷⁶⁸⁰⁰ is an apocalyptic number.

876800 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 876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093029).

876800 is an abundant number, since it is smaller than the sum of its proper divisors (1309258).

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

876800 is a wasteful number, since it uses less digits than its factorization.

876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 876800 is about 936.3759928576. The cubic root of 876800 is about 95.7121004285.

The spelling of 876800 in words is "eight hundred seventy-six thousand, eight hundred".