799444800 has 756 divisors, whose sum is σ = 3640811616. Its totient is φ = 164505600.

The previous prime is 799444783. The next prime is 799444801. The reversal of 799444800 is 8444997.

799444800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×799444800² = 1278223976494080000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799444801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761549 + ... + 7761651.

Almost surely, 2^799444800 is an apocalyptic number.

799444800 is a gapful number since it is divisible by the number (70) 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 799444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820405808).

799444800 is an abundant number, since it is smaller than the sum of its proper divisors (2841366816).

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

799444800 is a wasteful number, since it uses less digits than its factorization.

799444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 799444800 is about 28274.4549019075. The cubic root of 799444800 is about 928.1029661810.

The spelling of 799444800 in words is "seven hundred ninety-nine million, four hundred forty-four thousand, eight hundred".