7808 has 16 divisors (see below), whose sum is σ = 15810. Its totient is φ = 3840.

The previous prime is 7793. The next prime is 7817. The reversal of 7808 is 8087.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 64 = 88^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

7808 is an undulating number in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98 + ... + 158.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905).

7808 is an abundant number, since it is smaller than the sum of its proper divisors (8002).

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

7808 is an equidigital number, since it uses as much as digits as its factorization.

7808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 7808 is about 88.3628881375. The cubic root of 7808 is about 19.8387026554.

Adding to 7808 its product of nonzero digits (448), we get a triangular number (8256 = T₁₂₈).

The spelling of 7808 in words is "seven thousand, eight hundred eight".