799866144 has 288 divisors, whose sum is σ = 2933320320. Its totient is φ = 207567360.

The previous prime is 799866097. The next prime is 799866157. The reversal of 799866144 is 441668997.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731262 + ... + 732354.

It is an arithmetic number, because the mean of its divisors is an integer number (10185140).

Almost surely, 2^799866144 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 799866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466660160).

799866144 is an abundant number, since it is smaller than the sum of its proper divisors (2133454176).

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

799866144 is a wasteful number, since it uses less digits than its factorization.

799866144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1116 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 799866144 is about 28281.9048863403. The cubic root of 799866144 is about 928.2659884584.

The spelling of 799866144 in words is "seven hundred ninety-nine million, eight hundred sixty-six thousand, one hundred forty-four".