85790 has 16 divisors (see below), whose sum is σ = 161568. Its totient is φ = 32736.

The previous prime is 85781. The next prime is 85793. The reversal of 85790 is 9758.

It is a happy number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85793) by changing a digit.

85790 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (10098).

2⁸⁵⁷⁹⁰ is an apocalyptic number.

85790 is a deficient number, since it is larger than the sum of its proper divisors (75778).

85790 is a wasteful number, since it uses less digits than its factorization.

85790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 85790 is about 292.8993001016. The cubic root of 85790 is about 44.1040923936.

The spelling of 85790 in words is "eighty-five thousand, seven hundred ninety".