876710400 has 360 divisors, whose sum is σ = 3115485120. Its totient is φ = 217251840.

The previous prime is 876710399. The next prime is 876710423. The reversal of 876710400 is 4017678.

It is a super-2 number, since 2×876710400² = 1537242250936320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11097561 + ... + 11097639.

Almost surely, 2^876710400 is an apocalyptic number.

876710400 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 876710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557742560).

876710400 is an abundant number, since it is smaller than the sum of its proper divisors (2238774720).

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

876710400 is a wasteful number, since it uses less digits than its factorization.

876710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 876710400 is about 29609.2958376250. The cubic root of 876710400 is about 957.0884005127.

The spelling of 876710400 in words is "eight hundred seventy-six million, seven hundred ten thousand, four hundred".