1056876800 has 216 divisors, whose sum is σ = 3090135552. Its totient is φ = 350208000.

The previous prime is 1056876797. The next prime is 1056876811. The reversal of 1056876800 is 86786501.

It is a super-2 number, since 2×1056876800² = 2233977140756480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388420 + ... + 1389180.

Almost surely, 2^1056876800 is an apocalyptic number.

1056876800 is a gapful number since it is divisible by the number (10) 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 1056876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545067776).

1056876800 is an abundant number, since it is smaller than the sum of its proper divisors (2033258752).

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

1056876800 is an equidigital number, since it uses as much as digits as its factorization.

1056876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 1056876800 is about 32509.6416467484. The cubic root of 1056876800 is about 1018.6104364248.

The spelling of 1056876800 in words is "one billion, fifty-six million, eight hundred seventy-six thousand, eight hundred".