876452400 has 360 divisors, whose sum is σ = 3223793664. Its totient is φ = 228614400.

The previous prime is 876452377. The next prime is 876452417. The reversal of 876452400 is 4254678.

876452400 is a `hidden beast` number, since 8 + 7 + 645 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6901137 + ... + 6901263.

Almost surely, 2^876452400 is an apocalyptic number.

876452400 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 876452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611896832).

876452400 is an abundant number, since it is smaller than the sum of its proper divisors (2347341264).

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

876452400 is a wasteful number, since it uses less digits than its factorization.

876452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 876452400 is about 29604.9387771703. The cubic root of 876452400 is about 956.9945067048.

The spelling of 876452400 in words is "eight hundred seventy-six million, four hundred fifty-two thousand, four hundred".