7728768 has 48 divisors (see below), whose sum is σ = 22243650. Its totient is φ = 2575872.

The previous prime is 7728757. The next prime is 7728769. The reversal of 7728768 is 8678277.

7728768 is digitally balanced in base 4, 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., 6110784 + 1617984 = 2472^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (7728769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2203 + ... + 4506.

Almost surely, 2^7728768 is an apocalyptic number.

It is an amenable number.

7728768 is an abundant number, since it is smaller than the sum of its proper divisors (14514882).

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

7728768 is a wasteful number, since it uses less digits than its factorization.

7728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6714 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 7728768 is about 2780.0661862625. The cubic root of 7728768 is about 197.7136970177.

The spelling of 7728768 in words is "seven million, seven hundred twenty-eight thousand, seven hundred sixty-eight".