7792 has 10 divisors (see below), whose sum is σ = 15128. Its totient is φ = 3888.

The previous prime is 7789. The next prime is 7793. The reversal of 7792 is 2977.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7793) 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, 228 + ... + 259.

2⁷⁷⁹² is an apocalyptic number.

It is an amenable number.

7792 is a deficient number, since it is larger than the sum of its proper divisors (7336).

7792 is a wasteful number, since it uses less digits than its factorization.

7792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 7792 is about 88.2723059629. The cubic root of 7792 is about 19.8251423622.

It can be divided in two parts, 77 and 92, that added together give a square (169 = 13²).

The spelling of 7792 in words is "seven thousand, seven hundred ninety-two".