7750 has 16 divisors (see below), whose sum is σ = 14976. Its totient is φ = 3000.

The previous prime is 7741. The next prime is 7753. The reversal of 7750 is 577.

7750 = T₅ + T₆ + ... + T₃₅.

7750 is a nontrivial binomial coefficient, being equal to C(125, 2).

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7753) by changing a digit.

7750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁷⁷⁵⁰ is an apocalyptic number.

7750 is the 124-th triangular number.

7750 is the 42-nd centered nonagonal number.

7750 is a deficient number, since it is larger than the sum of its proper divisors (7226).

7750 is a wasteful number, since it uses less digits than its factorization.

7750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 7750 is about 88.0340843083. The cubic root of 7750 is about 19.7894580484.

It can be divided in two parts, 7 and 750, that added together give a palindrome (757).

The spelling of 7750 in words is "seven thousand, seven hundred fifty".