7768960 has 64 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 3041280.

The previous prime is 7768921. The next prime is 7768961. The reversal of 7768960 is 698677.

7768960 is digitally balanced in base 5, 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7768961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38941 + ... + 39139.

Almost surely, 2^7768960 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 7768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

7768960 is an abundant number, since it is smaller than the sum of its proper divisors (11203040).

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

7768960 is a wasteful number, since it uses less digits than its factorization.

7768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 7768960 is about 2787.2854177497. The cubic root of 7768960 is about 198.0558288985.

The spelling of 7768960 in words is "seven million, seven hundred sixty-eight thousand, nine hundred sixty".