779065788865 has 128 divisors (see below), whose sum is σ = 1243053665280. Its totient is φ = 454761381888.

The previous prime is 779065788859. The next prime is 779065788947. The reversal of 779065788865 is 568887560977.

It is a 5-Lehmer number, since φ(779065788865) divides (779065788865-1)⁵.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 779065788865 - 2³ = 779065788857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 779065788791 and 779065788800.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 100017391 + ... + 100025179.

It is an arithmetic number, because the mean of its divisors is an integer number (9711356760).

It is a Poulet number, since it divides 2^779065788864-1.

Almost surely, 2^779065788865 is an apocalyptic number.

It is an amenable number.

779065788865 is a deficient number, since it is larger than the sum of its proper divisors (463987876415).

779065788865 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (779065788864) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (8091).

779065788865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091.

The product of its (nonzero) digits is 1422489600, while the sum is 76.

The spelling of 779065788865 in words is "seven hundred seventy-nine billion, sixty-five million, seven hundred eighty-eight thousand, eight hundred sixty-five".