818400 has 144 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 192000.

The previous prime is 818399. The next prime is 818413. The reversal of 818400 is 4818.

818400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26385 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁸¹⁸⁴⁰⁰ is an apocalyptic number.

818400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

818400 is an abundant number, since it is smaller than the sum of its proper divisors (2181408).

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

818400 is a wasteful number, since it uses less digits than its factorization.

818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 818400 is about 904.6546302319. The cubic root of 818400 is about 93.5380991844.

The spelling of 818400 in words is "eight hundred eighteen thousand, four hundred".