799884800 has 480 divisors, whose sum is σ = 2557336320. Its totient is φ = 243302400.

The previous prime is 799884773. The next prime is 799884829. The reversal of 799884800 is 8488997.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34777589 + ... + 34777611.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^799884800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

799884800 is an abundant number, since it is smaller than the sum of its proper divisors (1757451520).

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

799884800 is a wasteful number, since it uses less digits than its factorization.

799884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The square root of 799884800 is about 28282.2347066140. The cubic root of 799884800 is about 928.2732053307.

The spelling of 799884800 in words is "seven hundred ninety-nine million, eight hundred eighty-four thousand, eight hundred".