768384657 has 16 divisors (see below), whose sum is σ = 1138876480. Its totient is φ = 512018496.

The previous prime is 768384637. The next prime is 768384691. The reversal of 768384657 is 756483867.

It is not a de Polignac number, because 768384657 - 2⁶ = 768384593 is a prime.

It is a super-2 number, since 2×768384657² = 1180829962226015298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768384607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67833 + ... + 78345.

It is an arithmetic number, because the mean of its divisors is an integer number (71179780).

Almost surely, 2^768384657 is an apocalyptic number.

It is an amenable number.

768384657 is a deficient number, since it is larger than the sum of its proper divisors (370491823).

768384657 is a wasteful number, since it uses less digits than its factorization.

768384657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13223 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 768384657 is about 27719.7521092812. The cubic root of 768384657 is about 915.9242582282.

The spelling of 768384657 in words is "seven hundred sixty-eight million, three hundred eighty-four thousand, six hundred fifty-seven".