768257920 has 32 divisors (see below), whose sum is σ = 1836618120. Its totient is φ = 307302912.

The previous prime is 768257887. The next prime is 768257927. The reversal of 768257920 is 29752867.

768257920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768257927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599562 + ... + 600841.

Almost surely, 2^768257920 is an apocalyptic number.

It is an amenable number.

768257920 is an abundant number, since it is smaller than the sum of its proper divisors (1068360200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768257920 is a wasteful number, since it uses less digits than its factorization.

768257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200422 (or 1200410 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 768257920 is about 27717.4659736420. The cubic root of 768257920 is about 915.8738980887.

The spelling of 768257920 in words is "seven hundred sixty-eight million, two hundred fifty-seven thousand, nine hundred twenty".