26800 has 30 divisors (see below), whose sum is σ = 65348. Its totient is φ = 10560.

The previous prime is 26783. The next prime is 26801. The reversal of 26800 is 862.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (26801) by changing a digit.

26800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367 + ... + 433.

2²⁶⁸⁰⁰ is an apocalyptic number.

26800 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 26800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32674).

26800 is an abundant number, since it is smaller than the sum of its proper divisors (38548).

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

26800 is a wasteful number, since it uses less digits than its factorization.

26800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 26800 is about 163.7070554374. The cubic root of 26800 is about 29.9257422706.

Adding to 26800 its product of nonzero digits (96), we get a square (26896 = 164²).

The spelling of 26800 in words is "twenty-six thousand, eight hundred".