799634695680 has 960 divisors, whose sum is σ = 3080880811008. Its totient is φ = 198057000960.

The previous prime is 799634695679. The next prime is 799634695681. The reversal of 799634695680 is 86596436997.

799634695680 is a `hidden beast` number, since 79 + 96 + 3 + 469 + 5 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (799634695679) and next prime (799634695681).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 799634695599 and 799634695608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799634695681) 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 95 ways as a sum of consecutive naturals, for example, 877754425 + ... + 877755335.

Almost surely, 2^799634695680 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 799634695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540440405504).

799634695680 is an abundant number, since it is smaller than the sum of its proper divisors (2281246115328).

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

799634695680 is an equidigital number, since it uses as much as digits as its factorization.

799634695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 799634695680 in words is "seven hundred ninety-nine billion, six hundred thirty-four million, six hundred ninety-five thousand, six hundred eighty".