796757989757697 has 384 divisors, whose sum is σ = 1363272040972800. Its totient is φ = 459116300206080.

The previous prime is 796757989757683. The next prime is 796757989757711.

796757989757697 is a `hidden beast` number, since 7 + 9 + 6 + 7 + 5 + 7 + 9 + 8 + 9 + 7 + 576 + 9 + 7 = 666.

796757989757697 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (796757989757683) and next prime (796757989757711).

It is a de Polignac number, because none of the positive numbers 2^k-796757989757697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (796757989757497) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 654690212833 + ... + 654690214049.

It is an arithmetic number, because the mean of its divisors is an integer number (3550187606700).

Almost surely, 2^{796757989757697} is an apocalyptic number.

It is an amenable number.

796757989757697 is a deficient number, since it is larger than the sum of its proper divisors (566514051215103).

796757989757697 is a wasteful number, since it uses less digits than its factorization.

796757989757697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1917 counting only the distinct ones).

The product of its digits is 5557644640800, while the sum is 108.

The spelling of 796757989757697 in words is "seven hundred ninety-six trillion, seven hundred fifty-seven billion, nine hundred eighty-nine million, seven hundred fifty-seven thousand, six hundred ninety-seven".