808800840400 has 90 divisors (see below), whose sum is σ = 2260392076950. Its totient is φ = 277303138560.

The previous prime is 808800840389. The next prime is 808800840461. The reversal of 808800840400 is 4048008808.

It can be written as a sum of positive squares in 3 ways, for example, as 22507200576 + 786293639824 = 150024^2 + 886732^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20613075 + ... + 20652274.

Almost surely, 2^808800840400 is an apocalyptic number.

808800840400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808800840400 is an abundant number, since it is smaller than the sum of its proper divisors (1451591236550).

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

808800840400 is a wasteful number, since it uses less digits than its factorization.

808800840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41265381 (or 41265363 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 808800840400 in words is "eight hundred eight billion, eight hundred million, eight hundred forty thousand, four hundred".