8000400804 has 48 divisors (see below), whose sum is σ = 21562583616. Its totient is φ = 2281753600.

The previous prime is 8000400797. The next prime is 8000400809. The reversal of 8000400804 is 4080040008.

It is not an unprimeable number, because it can be changed into a prime (8000400809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780377 + ... + 1784864.

It is an arithmetic number, because the mean of its divisors is an integer number (449220492).

Almost surely, 2^8000400804 is an apocalyptic number.

It is an amenable number.

8000400804 is an abundant number, since it is smaller than the sum of its proper divisors (13562182812).

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

8000400804 is a wasteful number, since it uses less digits than its factorization.

8000400804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565276 (or 3565274 counting only the distinct ones).

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

The square root of 8000400804 is about 89444.9596344031. The cubic root of 8000400804 is about 2000.0333997756.

It can be divided in two parts, 8000 and 400804, that added together give a palindrome (408804).

The spelling of 8000400804 in words is "eight billion, four hundred thousand, eight hundred four".