799071960960 has 1152 divisors, whose sum is σ = 3496967510400. Its totient is φ = 166632947712.

The previous prime is 799071960913. The next prime is 799071960961. The reversal of 799071960960 is 69069170997.

799071960960 is a `hidden beast` number, since 7 + 9 + 9 + 0 + 7 + 19 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799071960961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326550457 + ... + 326552903.

It is an arithmetic number, because the mean of its divisors is an integer number (3035562075).

Almost surely, 2^799071960960 is an apocalyptic number.

799071960960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799071960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748483755200).

799071960960 is an abundant number, since it is smaller than the sum of its proper divisors (2697895549440).

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

799071960960 is a wasteful number, since it uses less digits than its factorization.

799071960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 799071960960 in words is "seven hundred ninety-nine billion, seventy-one million, nine hundred sixty thousand, nine hundred sixty".