26780 has 24 divisors (see below), whose sum is σ = 61152. Its totient is φ = 9792.

The previous prime is 26777. The next prime is 26783. The reversal of 26780 is 8762.

It is an interprime number because it is at equal distance from previous prime (26777) and next prime (26783).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26783) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 209 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2²⁶⁷⁸⁰ is an apocalyptic number.

26780 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 26780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576).

26780 is an abundant number, since it is smaller than the sum of its proper divisors (34372).

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

26780 is a wasteful number, since it uses less digits than its factorization.

26780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 26780 is about 163.6459593146. The cubic root of 26780 is about 29.9182962035.

The spelling of 26780 in words is "twenty-six thousand, seven hundred eighty".