11780 has 24 divisors (see below), whose sum is σ = 26880. Its totient is φ = 4320.

The previous prime is 11779. The next prime is 11783. The reversal of 11780 is 8711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

2¹¹⁷⁸⁰ is an apocalyptic number.

11780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

11780 is an abundant number, since it is smaller than the sum of its proper divisors (15100).

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

11780 is a wasteful number, since it uses less digits than its factorization.

11780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 11780 is about 108.5357084097. The cubic root of 11780 is about 22.7535115137.

The spelling of 11780 in words is "eleven thousand, seven hundred eighty".