768380224329 has 15 divisors (see below), whose sum is σ = 1147839033847. Its totient is φ = 512248223448.

The previous prime is 768380224327. The next prime is 768380224429. The reversal of 768380224329 is 923422083867.

The square root of 768380224329 is 876573.

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

768380224329 is a `hidden beast` number, since 7 + 6 + 8 + 380 + 224 + 32 + 9 = 666.

768380224329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 747196004025 + 21184220304 = 864405^2 + 145548^2 .

It is not a de Polignac number, because 768380224329 - 2¹ = 768380224327 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768380224327) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7840459 + ... + 7937855.

Almost surely, 2^768380224329 is an apocalyptic number.

768380224329 is the 876573-rd square number.

768380224329 is the 438287-th centered octagonal number.

It is an amenable number.

768380224329 is a deficient number, since it is larger than the sum of its proper divisors (379458809518).

768380224329 is an frugal number, since it uses more digits than its factorization.

768380224329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194806 (or 97400 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 768380224329 in words is "seven hundred sixty-eight billion, three hundred eighty million, two hundred twenty-four thousand, three hundred twenty-nine".