779827728977 has 16 divisors (see below), whose sum is σ = 897255403200. Its totient is φ = 670302383040.

The previous prime is 779827728961. The next prime is 779827728997.

779827728977 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 779827728977 - 2⁴ = 779827728961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (779827728907) 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 15 ways as a sum of consecutive naturals, for example, 3558878 + ... + 3771639.

It is an arithmetic number, because the mean of its divisors is an integer number (56078462700).

Almost surely, 2^779827728977 is an apocalyptic number.

It is an amenable number.

779827728977 is a deficient number, since it is larger than the sum of its proper divisors (117427674223).

779827728977 is a wasteful number, since it uses less digits than its factorization.

779827728977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7331056.

The product of its digits is 2439569664, while the sum is 80.

The spelling of 779827728977 in words is "seven hundred seventy-nine billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, nine hundred seventy-seven".