82779 has 8 divisors (see below), whose sum is σ = 113232. Its totient is φ = 53760.

The previous prime is 82763. The next prime is 82781. The reversal of 82779 is 97728.

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

It is not a de Polignac number, because 82779 - 2⁴ = 82763 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82729) 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, 214 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (14154).

2⁸²⁷⁷⁹ is an apocalyptic number.

82779 is a deficient number, since it is larger than the sum of its proper divisors (30453).

82779 is a wasteful number, since it uses less digits than its factorization.

82779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its digits is 7056, while the sum is 33.

The square root of 82779 is about 287.7133990623. The cubic root of 82779 is about 43.5819567346.

It can be divided in two parts, 82 and 779, that added together give a triangular number (861 = T₄₁).

The spelling of 82779 in words is "eighty-two thousand, seven hundred seventy-nine".