26788800 has 84 divisors (see below), whose sum is σ = 87905336. Its totient is φ = 7142400.

The previous prime is 26788799. The next prime is 26788807. The reversal of 26788800 is 888762.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26788807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2010 + ... + 7590.

Almost surely, 2^26788800 is an apocalyptic number.

26788800 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 26788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43952668).

26788800 is an abundant number, since it is smaller than the sum of its proper divisors (61116536).

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

26788800 is a wasteful number, since it uses less digits than its factorization.

26788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 26788800 is about 5175.7897948043. The cubic root of 26788800 is about 299.2157292959.

The spelling of 26788800 in words is "twenty-six million, seven hundred eighty-eight thousand, eight hundred".