768432960 has 448 divisors, whose sum is σ = 2965094400. Its totient is φ = 186624000.

The previous prime is 768432937. The next prime is 768432961. The reversal of 768432960 is 69234867.

768432960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768432961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5088885 + ... + 5089035.

Almost surely, 2^768432960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482547200).

768432960 is an abundant number, since it is smaller than the sum of its proper divisors (2196661440).

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

768432960 is a wasteful number, since it uses less digits than its factorization.

768432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 768432960 is about 27720.6233696142. The cubic root of 768432960 is about 915.9434504223.

The spelling of 768432960 in words is "seven hundred sixty-eight million, four hundred thirty-two thousand, nine hundred sixty".