808400000 has 192 divisors, whose sum is σ = 2103615360. Its totient is φ = 309120000.

The previous prime is 808399987. The next prime is 808400023. The reversal of 808400000 is 4808.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17199977 + ... + 17200023.

It is an arithmetic number, because the mean of its divisors is an integer number (10956330).

Almost surely, 2^808400000 is an apocalyptic number.

808400000 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 808400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051807680).

808400000 is an abundant number, since it is smaller than the sum of its proper divisors (1295215360).

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

808400000 is an frugal number, since it uses more digits than its factorization.

808400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 808400000 is about 28432.3759119775. The cubic root of 808400000 is about 931.5555728887. Note that the first 4 decimals are identical.

Adding to 808400000 its reverse (4808), we get a palindrome (808404808).

The spelling of 808400000 in words is "eight hundred eight million, four hundred thousand".