7748 has 12 divisors (see below), whose sum is σ = 14700. Its totient is φ = 3552.

The previous prime is 7741. The next prime is 7753. The reversal of 7748 is 8477.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 6724 = 32^2 + 82^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 9 and base 15.

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 3 ways as a sum of consecutive naturals, for example, 23 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (1225).

2⁷⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

7748 is a deficient number, since it is larger than the sum of its proper divisors (6952).

7748 is a wasteful number, since it uses less digits than its factorization.

7748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 7748 is about 88.0227243387. The cubic root of 7748 is about 19.7877555830.

Adding to 7748 its product of digits (1568), we get a triangular number (9316 = T₁₃₆).

Subtracting 7748 from its reverse (8477), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 77 and 48, that added together give a cube (125 = 5³).

The spelling of 7748 in words is "seven thousand, seven hundred forty-eight".