823900 has 72 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 254400.

The previous prime is 823877. The next prime is 823903. The reversal of 823900 is 9328.

It is a super-2 number, since 2×823900² = 1357622420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7647 + ... + 7753.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁸²³⁹⁰⁰ 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 823900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

823900 is an abundant number, since it is smaller than the sum of its proper divisors (1425956).

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

823900 is a wasteful number, since it uses less digits than its factorization.

823900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 823900 is about 907.6893741804. The cubic root of 823900 is about 93.7471702850.

The spelling of 823900 in words is "eight hundred twenty-three thousand, nine hundred".