7755 has 16 divisors (see below), whose sum is σ = 13824. Its totient is φ = 3680.

The previous prime is 7753. The next prime is 7757. The reversal of 7755 is 5577.

7755 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7753) and next prime (7757).

It is not a de Polignac number, because 7755 - 2¹ = 7753 is a prime.

7755 is a lucky number.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2⁷⁷⁵⁵ is an apocalyptic number.

7755 is a deficient number, since it is larger than the sum of its proper divisors (6069).

7755 is a wasteful number, since it uses less digits than its factorization.

7755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its digits is 1225, while the sum is 24.

The square root of 7755 is about 88.0624778211. The cubic root of 7755 is about 19.7937129309.

It can be divided in two parts, 775 and 5, that added together give a triangular number (780 = T₃₉).

The spelling of 7755 in words is "seven thousand, seven hundred fifty-five".