8040800400 has 120 divisors (see below), whose sum is σ = 26179854144. Its totient is φ = 2109043200.

The previous prime is 8040800389. The next prime is 8040800441. The reversal of 8040800400 is 40080408.

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 (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18277 + ... + 128123.

Almost surely, 2^8040800400 is an apocalyptic number.

8040800400 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 8040800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089927072).

8040800400 is an abundant number, since it is smaller than the sum of its proper divisors (18139053744).

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

8040800400 is a wasteful number, since it uses less digits than its factorization.

8040800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109929 (or 109918 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8040800400 is about 89670.5102026302. The cubic root of 8040800400 is about 2003.3942695417.

Adding to 8040800400 its reverse (40080408), we get a palindrome (8080880808).

The spelling of 8040800400 in words is "eight billion, forty million, eight hundred thousand, four hundred".