799235976960 has 288 divisors, whose sum is σ = 2870358785280. Its totient is φ = 210561011712.

The previous prime is 799235976953. The next prime is 799235976967. The reversal of 799235976960 is 69679532997.

799235976960 is a `hidden beast` number, since 7 + 9 + 9 + 23 + 597 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (799235976953) and next prime (799235976967).

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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799235976967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2729167 + ... + 3007793.

It is an arithmetic number, because the mean of its divisors is an integer number (9966523560).

Almost surely, 2^799235976960 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 799235976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435179392640).

799235976960 is an abundant number, since it is smaller than the sum of its proper divisors (2071122808320).

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

799235976960 is a wasteful number, since it uses less digits than its factorization.

799235976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278740 (or 278720 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 799235976960 in words is "seven hundred ninety-nine billion, two hundred thirty-five million, nine hundred seventy-six thousand, nine hundred sixty".