768342961 has 9 divisors (see below), whose sum is σ = 784613739. Its totient is φ = 752404536.

The previous prime is 768342959. The next prime is 768343039. The reversal of 768342961 is 169243867.

The square root of 768342961 is 27719.

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

It can be written as a sum of positive squares in only one way, i.e., 553896225 + 214446736 = 23535^2 + 14644^2 .

It is not a de Polignac number, because 768342961 - 2¹ = 768342959 is a prime.

It is a Duffinian number.

Its product of digits (435456) is a multiple of the sum of its prime divisors (576).

It is not an unprimeable number, because it can be changed into a prime (768342461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1468846 + ... + 1469368.

Almost surely, 2^768342961 is an apocalyptic number.

768342961 is the 27719-th square number.

768342961 is the 13860-th centered octagonal number.

It is an amenable number.

768342961 is a deficient number, since it is larger than the sum of its proper divisors (16270778).

768342961 is an frugal number, since it uses more digits than its factorization.

768342961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 576 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The cubic root of 768342961 is about 915.9076905415.

The spelling of 768342961 in words is "seven hundred sixty-eight million, three hundred forty-two thousand, nine hundred sixty-one".