768580677 has 16 divisors (see below), whose sum is σ = 1139201280. Its totient is φ = 512133696.

The previous prime is 768580633. The next prime is 768580717. The reversal of 768580677 is 776085867.

It is not a de Polignac number, because 768580677 - 2¹⁰ = 768579653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768580607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60253 + ... + 71885.

It is an arithmetic number, because the mean of its divisors is an integer number (71200080).

Almost surely, 2^768580677 is an apocalyptic number.

It is an amenable number.

768580677 is a deficient number, since it is larger than the sum of its proper divisors (370620603).

768580677 is a wasteful number, since it uses less digits than its factorization.

768580677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 768580677 is about 27723.2876297166. The cubic root of 768580677 is about 916.0021377149.

The spelling of 768580677 in words is "seven hundred sixty-eight million, five hundred eighty thousand, six hundred seventy-seven".