8029040800 has 72 divisors (see below), whose sum is σ = 21382818912. Its totient is φ = 2919648000.

The previous prime is 8029040791. The next prime is 8029040809. The reversal of 8029040800 is 80409208.

It is an interprime number because it is at equal distance from previous prime (8029040791) and next prime (8029040809).

It is not an unprimeable number, because it can be changed into a prime (8029040809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447396 + ... + 464995.

It is an arithmetic number, because the mean of its divisors is an integer number (296983596).

Almost surely, 2^8029040800 is an apocalyptic number.

8029040800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8029040800 is an abundant number, since it is smaller than the sum of its proper divisors (13353778112).

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

8029040800 is a wasteful number, since it uses less digits than its factorization.

8029040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912422 (or 912409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8029040800 is about 89604.9150437631. The cubic root of 8029040800 is about 2002.4171441968.

The spelling of 8029040800 in words is "eight billion, twenty-nine million, forty thousand, eight hundred".