779634254961 has 27 divisors (see below), whose sum is σ = 1139278284651. Its totient is φ = 513760810464.

The previous prime is 779634254947. The next prime is 779634254977. The reversal of 779634254961 is 169452436977.

The square root of 779634254961 is 882969.

It is a perfect power (a square), and thus also a powerful number.

779634254961 is a `hidden beast` number, since 7 + 7 + 96 + 34 + 25 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149706312561 + 629927942400 = 386919^2 + 793680^2 .

It is not a de Polignac number, because 779634254961 - 2⁵ = 779634254929 is a prime.

It is a super-2 number, since 2×779634254961² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (779634250961) 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 26 ways as a sum of consecutive naturals, for example, 235751070 + ... + 235754376.

Almost surely, 2^779634254961 is an apocalyptic number.

779634254961 is the 882969-th square number.

779634254961 is the 441485-th centered octagonal number.

It is an amenable number.

779634254961 is a deficient number, since it is larger than the sum of its proper divisors (359644029690).

779634254961 is an frugal number, since it uses more digits than its factorization.

779634254961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 3399 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 779634254961 in words is "seven hundred seventy-nine billion, six hundred thirty-four million, two hundred fifty-four thousand, nine hundred sixty-one".