22780 has 24 divisors (see below), whose sum is σ = 51408. Its totient is φ = 8448.

The previous prime is 22777. The next prime is 22783. The reversal of 22780 is 8722.

22780 = T₂₃ + T₂₄ + ... + T₅₂.

It is an interprime number because it is at equal distance from previous prime (22777) and next prime (22783).

22780 is an undulating number in base 13.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22783) 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, 307 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (2142).

2²²⁷⁸⁰ is an apocalyptic number.

22780 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 22780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704).

22780 is an abundant number, since it is smaller than the sum of its proper divisors (28628).

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

22780 is a wasteful number, since it uses less digits than its factorization.

22780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 22780 is about 150.9304475578. The cubic root of 22780 is about 28.3477051271.

The spelling of 22780 in words is "twenty-two thousand, seven hundred eighty".