768485416689 has 27 divisors (see below), whose sum is σ = 1121311401483. Its totient is φ = 507170762352.

The previous prime is 768485416651. The next prime is 768485416691. The reversal of 768485416689 is 986614584867.

The square root of 768485416689 is 876633.

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

768485416689 is a `hidden beast` number, since 7 + 6 + 8 + 485 + 4 + 1 + 66 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26316950625 + 742168466064 = 162225^2 + 861492^2 .

It is not a de Polignac number, because 768485416689 - 2⁷ = 768485416561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768485416609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 270878179 + ... + 270881015.

Almost surely, 2^768485416689 is an apocalyptic number.

768485416689 is the 876633-rd square number.

768485416689 is the 438317-th centered octagonal number.

It is an amenable number.

768485416689 is a deficient number, since it is larger than the sum of its proper divisors (352825984794).

768485416689 is an frugal number, since it uses more digits than its factorization.

768485416689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 2943 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 768485416689 in words is "seven hundred sixty-eight billion, four hundred eighty-five million, four hundred sixteen thousand, six hundred eighty-nine".