26790 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 6624.

The previous prime is 26783. The next prime is 26801. The reversal of 26790 is 9762.

26790 is nontrivially palindromic in base 8.

26790 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a self number, because there is not a number n which added to its sum of digits gives 26790.

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 15 ways as a sum of consecutive naturals, for example, 547 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁶⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

26790 is an abundant number, since it is smaller than the sum of its proper divisors (42330).

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

26790 is a wasteful number, since it uses less digits than its factorization.

26790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 26790 is about 163.6765102267. The cubic root of 26790 is about 29.9220197003.

The spelling of 26790 in words is "twenty-six thousand, seven hundred ninety".