799516800 has 576 divisors, whose sum is σ = 3196402560. Its totient is φ = 189235200.

The previous prime is 799516717. The next prime is 799516807. The reversal of 799516800 is 8615997.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×799516800² = 1278454226964480000, 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 (799516807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11260765 + ... + 11260835.

It is an arithmetic number, because the mean of its divisors is an integer number (5549310).

Almost surely, 2^799516800 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 799516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598201280).

799516800 is an abundant number, since it is smaller than the sum of its proper divisors (2396885760).

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

799516800 is a wasteful number, since it uses less digits than its factorization.

799516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 799516800 is about 28275.7281073362. The cubic root of 799516800 is about 928.1308277701.

The spelling of 799516800 in words is "seven hundred ninety-nine million, five hundred sixteen thousand, eight hundred".