809400 has 96 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 201600.

The previous prime is 809399. The next prime is 809401. The reversal of 809400 is 4908.

809400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (809399) and next prime (809401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809401) 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, 11365 + ... + 11435.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁸⁰⁹⁴⁰⁰ 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 809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

809400 is an abundant number, since it is smaller than the sum of its proper divisors (1869000).

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

809400 is a wasteful number, since it uses less digits than its factorization.

809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 809400 is about 899.6666049154. Note that the first 4 decimals coincide. The cubic root of 809400 is about 93.1939529561.

The spelling of 809400 in words is "eight hundred nine thousand, four hundred".