767979120961 has 16 divisors (see below), whose sum is σ = 853777028608. Its totient is φ = 686001052800.

The previous prime is 767979120917. The next prime is 767979121001. The reversal of 767979120961 is 169021979767.

It is a cyclic number.

It is not a de Polignac number, because 767979120961 - 2²⁵ = 767945566529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 767979120893 and 767979120902.

It is not an unprimeable number, because it can be changed into a prime (767979120361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11018341 + ... + 11087821.

It is an arithmetic number, because the mean of its divisors is an integer number (53361064288).

Almost surely, 2^767979120961 is an apocalyptic number.

It is an amenable number.

767979120961 is a deficient number, since it is larger than the sum of its proper divisors (85797907647).

767979120961 is a wasteful number, since it uses less digits than its factorization.

767979120961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96952.

The product of its (nonzero) digits is 18003384, while the sum is 64.

The spelling of 767979120961 in words is "seven hundred sixty-seven billion, nine hundred seventy-nine million, one hundred twenty thousand, nine hundred sixty-one".