800400 has 120 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 197120.

The previous prime is 800399. The next prime is 800407. The reversal of 800400 is 4008.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (800407) 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, 27586 + ... + 27614.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2⁸⁰⁰⁴⁰⁰ is an apocalyptic number.

800400 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 800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

800400 is an abundant number, since it is smaller than the sum of its proper divisors (1967280).

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

800400 is a wasteful number, since it uses less digits than its factorization.

800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 800400 is about 894.6507698538. The cubic root of 800400 is about 92.8472460571.

Adding to 800400 its reverse (4008), we get a palindrome (804408).

The spelling of 800400 in words is "eight hundred thousand, four hundred".