800408804000 has 96 divisors (see below), whose sum is σ = 2117881832976. Its totient is φ = 295535539200.

The previous prime is 800408803993. The next prime is 800408804017. The reversal of 800408804000 is 408804008.

It can be written as a sum of positive squares in 8 ways, for example, as 478909456 + 799929894544 = 21884^2 + 894388^2 .

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7644239 + ... + 7748238.

Almost surely, 2^800408804000 is an apocalyptic number.

800408804000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800408804000 is an abundant number, since it is smaller than the sum of its proper divisors (1317473028976).

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

800408804000 is a wasteful number, since it uses less digits than its factorization.

800408804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392515 (or 15392497 counting only the distinct ones).

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

The spelling of 800408804000 in words is "eight hundred billion, four hundred eight million, eight hundred four thousand".