800096814720 has 1024 divisors, whose sum is σ = 3299512320000. Its totient is φ = 179470909440.

The previous prime is 800096814709. The next prime is 800096814733. The reversal of 800096814720 is 27418690008.

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

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 127 ways as a sum of consecutive naturals, for example, 1856372905 + ... + 1856373335.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180000).

Almost surely, 2^800096814720 is an apocalyptic number.

800096814720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800096814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160000).

800096814720 is an abundant number, since it is smaller than the sum of its proper divisors (2499415505280).

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

800096814720 is a wasteful number, since it uses less digits than its factorization.

800096814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 800096814720 in words is "eight hundred billion, ninety-six million, eight hundred fourteen thousand, seven hundred twenty".