7761 has 8 divisors (see below), whose sum is σ = 11200. Its totient is φ = 4752.

The previous prime is 7759. The next prime is 7789. The reversal of 7761 is 1677.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7761 - 2¹ = 7759 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 6.

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

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, 61 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

7761 is a deficient number, since it is larger than the sum of its proper divisors (3439).

7761 is a wasteful number, since it uses less digits than its factorization.

7761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its digits is 294, while the sum is 21.

The square root of 7761 is about 88.0965379569. The cubic root of 7761 is about 19.7988163765.

Subtracting from 7761 its reverse (1677), we obtain a square (6084 = 78²).

It can be divided in two parts, 776 and 1, that added together give a palindrome (777).

The spelling of 7761 in words is "seven thousand, seven hundred sixty-one".