23790 has 32 divisors (see below), whose sum is σ = 62496. Its totient is φ = 5760.

The previous prime is 23789. The next prime is 23801. The reversal of 23790 is 9732.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2²³⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

23790 is an abundant number, since it is smaller than the sum of its proper divisors (38706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23790 is a wasteful number, since it uses less digits than its factorization.

23790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 23790 is about 154.2400726141. The cubic root of 23790 is about 28.7606135986.

The spelling of 23790 in words is "twenty-three thousand, seven hundred ninety".