800772 has 24 divisors (see below), whose sum is σ = 2135616. Its totient is φ = 228768.

The previous prime is 800759. The next prime is 800773. The reversal of 800772 is 277008.

It is not an unprimeable number, because it can be changed into a prime (800773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4683 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (88984).

2⁸⁰⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

800772 is an abundant number, since it is smaller than the sum of its proper divisors (1334844).

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

800772 is a wasteful number, since it uses less digits than its factorization.

800772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 800772 is about 894.8586480557. The cubic root of 800772 is about 92.8616279603.

The spelling of 800772 in words is "eight hundred thousand, seven hundred seventy-two".