799948800 has 540 divisors, whose sum is σ = 3380505856. Its totient is φ = 176947200.

The previous prime is 799948777. The next prime is 799948801. The reversal of 799948800 is 8849997.

799948800 is a `hidden beast` number, since 79 + 99 + 488 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (799948801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25804785 + ... + 25804815.

Almost surely, 2^799948800 is an apocalyptic number.

799948800 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 799948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690252928).

799948800 is an abundant number, since it is smaller than the sum of its proper divisors (2580557056).

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

799948800 is a wasteful number, since it uses less digits than its factorization.

799948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 799948800 is about 28283.3661363000. The cubic root of 799948800 is about 928.2979621877.

The spelling of 799948800 in words is "seven hundred ninety-nine million, nine hundred forty-eight thousand, eight hundred".