7768 has 8 divisors (see below), whose sum is σ = 14580. Its totient is φ = 3880.

The previous prime is 7759. The next prime is 7789. The reversal of 7768 is 8677.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

7768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 478 + ... + 493.

2⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

7768 is a deficient number, since it is larger than the sum of its proper divisors (6812).

7768 is a wasteful number, since it uses less digits than its factorization.

7768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 7768 is about 88.1362581461. The cubic root of 7768 is about 19.8047670731.

Subtracting 7768 from its reverse (8677), we obtain a palindrome (909).

It can be divided in two parts, 776 and 8, that added together give a square (784 = 28²).

The spelling of 7768 in words is "seven thousand, seven hundred sixty-eight".