7742 has 12 divisors (see below), whose sum is σ = 13680. Its totient is φ = 3276.

The previous prime is 7741. The next prime is 7753. The reversal of 7742 is 2477.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7742.

It is not an unprimeable number, because it can be changed into a prime (7741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

2⁷⁷⁴² is an apocalyptic number.

7742 is a deficient number, since it is larger than the sum of its proper divisors (5938).

7742 is a wasteful number, since it uses less digits than its factorization.

7742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its digits is 392, while the sum is 20.

The square root of 7742 is about 87.9886356298. The cubic root of 7742 is about 19.7826464282.

The spelling of 7742 in words is "seven thousand, seven hundred forty-two", and thus it is an iban number.