7668 has 24 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2520.

The previous prime is 7649. The next prime is 7669. The reversal of 7668 is 8667.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 6.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7669) by changing a digit.

7668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁷⁶⁶⁸ 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 7668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

7668 is an abundant number, since it is smaller than the sum of its proper divisors (12492).

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

7668 is a wasteful number, since it uses less digits than its factorization.

7668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 7668 is about 87.5671171160. The cubic root of 7668 is about 19.7194153543.

Subtracting 7668 from its reverse (8667), we obtain a palindrome (999).

It can be divided in two parts, 76 and 68, that added together give a square (144 = 12²).

The spelling of 7668 in words is "seven thousand, six hundred sixty-eight".