776984072089 has 27 divisors (see below), whose sum is σ = 871424151357. Its totient is φ = 692536889088.

The previous prime is 776984072069. The next prime is 776984072159. The reversal of 776984072089 is 980270489677.

The square root of 776984072089 is 881467.

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

It can be written as a sum of positive squares in 4 ways, for example, as 468506025625 + 308478046464 = 684475^2 + 555408^2 .

It is not a de Polignac number, because 776984072089 - 2⁷ = 776984071961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (776984072069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284712477 + ... + 284715205.

Almost surely, 2^776984072089 is an apocalyptic number.

776984072089 is the 881467-th square number.

776984072089 is the 440734-th centered octagonal number.

It is an amenable number.

776984072089 is a deficient number, since it is larger than the sum of its proper divisors (94440079268).

776984072089 is an frugal number, since it uses more digits than its factorization.

776984072089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 67.

The spelling of 776984072089 in words is "seven hundred seventy-six billion, nine hundred eighty-four million, seventy-two thousand, eighty-nine".