7772 has 12 divisors (see below), whose sum is σ = 14280. Its totient is φ = 3696.

The previous prime is 7759. The next prime is 7789. The reversal of 7772 is 2777.

Its product of digits (686) is a multiple of the sum of its prime divisors (98).

It is a nialpdrome in base 6 and base 10.

It is a congruent number.

It is an unprimeable number.

7772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1190).

2⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

7772 is a deficient number, since it is larger than the sum of its proper divisors (6508).

7772 is a wasteful number, since it uses less digits than its factorization.

7772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 686, while the sum is 23.

The square root of 7772 is about 88.1589473621. The cubic root of 7772 is about 19.8081658662.

The spelling of 7772 in words is "seven thousand, seven hundred seventy-two", and thus it is an iban number.