11790 has 24 divisors (see below), whose sum is σ = 30888. Its totient is φ = 3120.

The previous prime is 11789. The next prime is 11801. The reversal of 11790 is 9711.

11790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1287).

2¹¹⁷⁹⁰ is an apocalyptic number.

11790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444).

11790 is an abundant number, since it is smaller than the sum of its proper divisors (19098).

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

11790 is a wasteful number, since it uses less digits than its factorization.

11790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11790 is about 108.5817664251. The cubic root of 11790 is about 22.7599481509.

The spelling of 11790 in words is "eleven thousand, seven hundred ninety".