799987200 has 240 divisors, whose sum is σ = 2685203136. Its totient is φ = 209920000.

The previous prime is 799987189. The next prime is 799987261. The reversal of 799987200 is 2789997.

It is a happy number.

799987200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3187075 + ... + 3187325.

Almost surely, 2^799987200 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 799987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342601568).

799987200 is an abundant number, since it is smaller than the sum of its proper divisors (1885215936).

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

799987200 is a wasteful number, since it uses less digits than its factorization.

799987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 799987200 is about 28284.0449723868. The cubic root of 799987200 is about 928.3128156681.

The spelling of 799987200 in words is "seven hundred ninety-nine million, nine hundred eighty-seven thousand, two hundred".