8040804000800 has 72 divisors (see below), whose sum is σ = 19823965567812. Its totient is φ = 3184476800000.

The previous prime is 8040804000787. The next prime is 8040804000847. The reversal of 8040804000800 is 80004080408.

It can be written as a sum of positive squares in 6 ways, for example, as 7508937179536 + 531866821264 = 2740244^2 + 729292^2 .

It is a super-3 number, since 3×8040804000800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49676651 + ... + 49838250.

Almost surely, 2^{8040804000800} is an apocalyptic number.

8040804000800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8040804000800 is an abundant number, since it is smaller than the sum of its proper divisors (11783161567012).

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

8040804000800 is a wasteful number, since it uses less digits than its factorization.

8040804000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99515022 (or 99515009 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 8040804000800 in words is "eight trillion, forty billion, eight hundred four million, eight hundred", and thus it is an aban number.