7695 has 20 divisors (see below), whose sum is σ = 14520. Its totient is φ = 3888.

The previous prime is 7691. The next prime is 7699. The reversal of 7695 is 5967.

7695 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (7691) and next prime (7699).

It is not a de Polignac number, because 7695 - 2² = 7691 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1890) is a multiple of the sum of its prime divisors (27).

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (726).

2⁷⁶⁹⁵ is an apocalyptic number.

7695 is a deficient number, since it is larger than the sum of its proper divisors (6825).

7695 is a wasteful number, since it uses less digits than its factorization.

7695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 7695 is about 87.7211491033. The cubic root of 7695 is about 19.7425330957.

Subtracting from 7695 its reverse (5967), we obtain a cube (1728 = 12³).

It can be divided in two parts, 76 and 95, that added together give a palindrome (171).

The spelling of 7695 in words is "seven thousand, six hundred ninety-five".