23780 has 24 divisors (see below), whose sum is σ = 52920. Its totient is φ = 8960.

The previous prime is 23773. The next prime is 23789. The reversal of 23780 is 8732.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 23716 = 8^2 + 154^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²³⁷⁸⁰ is an apocalyptic number.

23780 is a gapful number since it is divisible by the number (20) 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 23780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460).

23780 is an abundant number, since it is smaller than the sum of its proper divisors (29140).

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

23780 is a wasteful number, since it uses less digits than its factorization.

23780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 23780 is about 154.2076522096. The cubic root of 23780 is about 28.7565832435.

The spelling of 23780 in words is "twenty-three thousand, seven hundred eighty".