800438460030720 has 432 divisors, whose sum is σ = 3203200442437632. Its totient is φ = 180753055211520.

The previous prime is 800438460030719. The next prime is 800438460030757. The reversal of 800438460030720 is 27030064834008.

800438460030720 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 3 + 8 + 4 + 600 + 30 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53102496 + ... + 66488735.

It is an arithmetic number, because the mean of its divisors is an integer number (7414815838976).

Almost surely, 2^{800438460030720} is an apocalyptic number.

800438460030720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800438460030720 is an abundant number, since it is smaller than the sum of its proper divisors (2402761982406912).

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

800438460030720 is a wasteful number, since it uses less digits than its factorization.

800438460030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119591348 (or 119591331 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 800438460030720 in words is "eight hundred trillion, four hundred thirty-eight billion, four hundred sixty million, thirty thousand, seven hundred twenty".