7688320 has 64 divisors (see below), whose sum is σ = 18892440. Its totient is φ = 2990080.

The previous prime is 7688309. The next prime is 7688321. The reversal of 7688320 is 238867.

It is a happy number.

7688320 is digitally balanced in base 5, 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 4 ways, for example, as 6110784 + 1577536 = 2472^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7688320² = 118220528844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7688321) 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, 26094 + ... + 26386.

Almost surely, 2^7688320 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 7688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446220).

7688320 is an abundant number, since it is smaller than the sum of its proper divisors (11204120).

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

7688320 is a wasteful number, since it uses less digits than its factorization.

7688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 7688320 is about 2772.7819964793. The cubic root of 7688320 is about 197.3681863607.

It can be divided in two parts, 7688 and 320, that added together give a palindrome (8008).

The spelling of 7688320 in words is "seven million, six hundred eighty-eight thousand, three hundred twenty".