7706 has 4 divisors (see below), whose sum is σ = 11562. Its totient is φ = 3852.

The previous prime is 7703. The next prime is 7717. The reversal of 7706 is 6077.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 6077 = 59 ⋅103.

It can be written as a sum of positive squares in only one way, i.e., 4225 + 3481 = 65^2 + 59^2 .

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7706.

It is not an unprimeable number, because it can be changed into a prime (7703) by changing a digit.

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, 1925 + ... + 1928.

2⁷⁷⁰⁶ is an apocalyptic number.

7706 is a deficient number, since it is larger than the sum of its proper divisors (3856).

7706 is a wasteful number, since it uses less digits than its factorization.

7706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 7706 is about 87.7838253894. The cubic root of 7706 is about 19.7519359316.

Adding to 7706 its product of nonzero digits (294), we get a cube (8000 = 20³).

The spelling of 7706 in words is "seven thousand, seven hundred six".