800799648000 has 576 divisors, whose sum is σ = 3027912136704. Its totient is φ = 185687040000.

The previous prime is 800799647959. The next prime is 800799648029. The reversal of 800799648000 is 846997008.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 24271515 + ... + 24304485.

It is an arithmetic number, because the mean of its divisors is an integer number (5256791904).

Almost surely, 2^800799648000 is an apocalyptic number.

800799648000 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 800799648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513956068352).

800799648000 is an abundant number, since it is smaller than the sum of its proper divisors (2227112488704).

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

800799648000 is a wasteful number, since it uses less digits than its factorization.

800799648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33039 (or 33015 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 800799648000 in words is "eight hundred billion, seven hundred ninety-nine million, six hundred forty-eight thousand".