799880400 has 240 divisors, whose sum is σ = 3106259520. Its totient is φ = 193881600.

The previous prime is 799880381. The next prime is 799880437. The reversal of 799880400 is 4088997.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115434 + ... + 122166.

It is an arithmetic number, because the mean of its divisors is an integer number (12942748).

Almost surely, 2^799880400 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 799880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553129760).

799880400 is an abundant number, since it is smaller than the sum of its proper divisors (2306379120).

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

799880400 is a wasteful number, since it uses less digits than its factorization.

799880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 799880400 is about 28282.1569191602. The cubic root of 799880400 is about 928.2715032483.

The spelling of 799880400 in words is "seven hundred ninety-nine million, eight hundred eighty thousand, four hundred".