800823 has 16 divisors (see below), whose sum is σ = 1126400. Its totient is φ = 505440.

The previous prime is 800801. The next prime is 800861. The reversal of 800823 is 328008.

800823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 800823 - 2⁶ = 800759 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 800823.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800823.

It is not an unprimeable number, because it can be changed into a prime (800873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7293 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (70400).

2⁸⁰⁰⁸²³ is an apocalyptic number.

800823 is a deficient number, since it is larger than the sum of its proper divisors (325577).

800823 is a wasteful number, since it uses less digits than its factorization.

800823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 800823 is about 894.8871437226. The cubic root of 800823 is about 92.8635993256.

The spelling of 800823 in words is "eight hundred thousand, eight hundred twenty-three".