85779 has 12 divisors (see below), whose sum is σ = 128856. Its totient is φ = 57024.

The previous prime is 85751. The next prime is 85781. The reversal of 85779 is 97758.

It is not a de Polignac number, because 85779 - 2⁸ = 85523 is a prime.

85779 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (80779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (10738).

2⁸⁵⁷⁷⁹ is an apocalyptic number.

85779 is a deficient number, since it is larger than the sum of its proper divisors (43077).

85779 is an equidigital number, since it uses as much as digits as its factorization.

85779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 85779 is about 292.8805217149. The cubic root of 85779 is about 44.1022073031.

The spelling of 85779 in words is "eighty-five thousand, seven hundred seventy-nine".