800384080000 has 80 divisors (see below), whose sum is σ = 1992506342310. Its totient is φ = 320153600000.

The previous prime is 800384079949. The next prime is 800384080057. The reversal of 800384080000 is 80483008.

It can be written as a sum of positive squares in 5 ways, for example, as 2906503744 + 797477576256 = 53912^2 + 893016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×800384080000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4922401 + ... + 5082400.

Almost surely, 2^800384080000 is an apocalyptic number.

800384080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800384080000 is an abundant number, since it is smaller than the sum of its proper divisors (1192122262310).

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

800384080000 is an equidigital number, since it uses as much as digits as its factorization.

800384080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004835 (or 10004808 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 800384080000 in words is "eight hundred billion, three hundred eighty-four million, eighty thousand".