5256800 has 36 divisors (see below), whose sum is σ = 12835116. Its totient is φ = 2102400.

The previous prime is 5256781. The next prime is 5256817. The reversal of 5256800 is 86525.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5256800.

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, 2486 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (356531).

Almost surely, 2^5256800 is an apocalyptic number.

5256800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5256800 is an abundant number, since it is smaller than the sum of its proper divisors (7578316).

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

5256800 is a wasteful number, since it uses less digits than its factorization.

5256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5256800 is about 2292.7712489474. The cubic root of 5256800 is about 173.8763379057.

The spelling of 5256800 in words is "five million, two hundred fifty-six thousand, eight hundred".