801256800 has 72 divisors (see below), whose sum is σ = 2608098696. Its totient is φ = 213667840.

The previous prime is 801256741. The next prime is 801256811. The reversal of 801256800 is 8652108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164529 + ... + 169328.

It is an arithmetic number, because the mean of its divisors is an integer number (36223593).

Almost surely, 2^801256800 is an apocalyptic number.

801256800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801256800 is an abundant number, since it is smaller than the sum of its proper divisors (1806841896).

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

801256800 is a wasteful number, since it uses less digits than its factorization.

801256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333880 (or 333867 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 801256800 is about 28306.4798235316. The cubic root of 801256800 is about 928.8036414454.

The spelling of 801256800 in words is "eight hundred one million, two hundred fifty-six thousand, eight hundred".