7766 has 8 divisors (see below), whose sum is σ = 12744. Its totient is φ = 3520.

The previous prime is 7759. The next prime is 7789. The reversal of 7766 is 6677.

7766 = T₃ + T₄ + ... + T₃₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1593).

7766 is a deficient number, since it is larger than the sum of its proper divisors (4978).

7766 is a wasteful number, since it uses less digits than its factorization.

7766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 1764, while the sum is 26.

The square root of 7766 is about 88.1249113475. The cubic root of 7766 is about 19.8030672390.

Subtracting from 7766 its reverse (6677), we obtain a square (1089 = 33²).

It can be divided in two parts, 776 and 6, that multiplied together give a triangular number (4656 = T₉₆).

The spelling of 7766 in words is "seven thousand, seven hundred sixty-six".