808844400 has 480 divisors, whose sum is σ = 3547550720. Its totient is φ = 170449920.

The previous prime is 808844389. The next prime is 808844401. The reversal of 808844400 is 4448808.

808844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×808844400² = 1308458526822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808844401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982389 + ... + 983211.

Almost surely, 2^808844400 is an apocalyptic number.

808844400 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 808844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773775360).

808844400 is an abundant number, since it is smaller than the sum of its proper divisors (2738706320).

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

808844400 is a wasteful number, since it uses less digits than its factorization.

808844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 808844400 is about 28440.1898727839. The cubic root of 808844400 is about 931.7262423017.

The spelling of 808844400 in words is "eight hundred eight million, eight hundred forty-four thousand, four hundred".