768897441 has 63 divisors (see below), whose sum is σ = 1264320099. Its totient is φ = 467178192.

The previous prime is 768897419. The next prime is 768897449. The reversal of 768897441 is 144798867.

It is a happy number.

The square root of 768897441 is 27729.

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

768897441 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., 113742225 + 655155216 = 10665^2 + 25596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-768897441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768897449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9732840 + ... + 9732918.

It is an arithmetic number, because the mean of its divisors is an integer number (20068573).

Almost surely, 2^768897441 is an apocalyptic number.

768897441 is the 27729-th square number.

768897441 is the 13865-th centered octagonal number.

It is an amenable number.

768897441 is a deficient number, since it is larger than the sum of its proper divisors (495422658).

768897441 is an frugal number, since it uses more digits than its factorization.

768897441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 95 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The cubic root of 768897441 is about 916.1279612652.

The spelling of 768897441 in words is "seven hundred sixty-eight million, eight hundred ninety-seven thousand, four hundred forty-one".