79761 has 8 divisors (see below), whose sum is σ = 116064. Its totient is φ = 48320.

The previous prime is 79757. The next prime is 79769. The reversal of 79761 is 16797.

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

It is a cyclic number.

It is not a de Polignac number, because 79761 - 2² = 79757 is a prime.

79761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (79769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2⁷⁹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

79761 is a deficient number, since it is larger than the sum of its proper divisors (36303).

79761 is a wasteful number, since it uses less digits than its factorization.

79761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431.

The product of its digits is 2646, while the sum is 30.

The square root of 79761 is about 282.4199001487. The cubic root of 79761 is about 43.0457418416.

It can be divided in two parts, 797 and 61, that added together give a palindrome (858).

The spelling of 79761 in words is "seventy-nine thousand, seven hundred sixty-one".