823800 has 48 divisors (see below), whose sum is σ = 2555640. Its totient is φ = 219520.

The previous prime is 823799. The next prime is 823819. The reversal of 823800 is 8328.

823800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 87 + ... + 1286.

2⁸²³⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277820).

823800 is an abundant number, since it is smaller than the sum of its proper divisors (1731840).

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

823800 is a wasteful number, since it uses less digits than its factorization.

823800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

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

The square root of 823800 is about 907.6342875850. The cubic root of 823800 is about 93.7433773099.

The spelling of 823800 in words is "eight hundred twenty-three thousand, eight hundred".