799648000 has 72 divisors (see below), whose sum is σ = 1992102840. Its totient is φ = 319846400.

The previous prime is 799647997. The next prime is 799648037. The reversal of 799648000 is 846997.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 782209024 = 4176^2 + 27968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19506 + ... + 44494.

It is an arithmetic number, because the mean of its divisors is an integer number (27668095).

Almost surely, 2^799648000 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 799648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996051420).

799648000 is an abundant number, since it is smaller than the sum of its proper divisors (1192454840).

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

799648000 is an equidigital number, since it uses as much as digits as its factorization.

799648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 799648000 is about 28278.0480231575. The cubic root of 799648000 is about 928.1815934761.

The spelling of 799648000 in words is "seven hundred ninety-nine million, six hundred forty-eight thousand".