26801800 has 48 divisors (see below), whose sum is σ = 64476900. Its totient is φ = 10348800.

The previous prime is 26801791. The next prime is 26801807. The reversal of 26801800 is 810862.

It can be written as a sum of positive squares in 6 ways, for example, as 8328996 + 18472804 = 2886^2 + 4298^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (26801807) 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, 3490 + ... + 8110.

Almost surely, 2^26801800 is an apocalyptic number.

26801800 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 26801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32238450).

26801800 is an abundant number, since it is smaller than the sum of its proper divisors (37675100).

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

26801800 is a wasteful number, since it uses less digits than its factorization.

26801800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 26801800 is about 5177.0454894660. The cubic root of 26801800 is about 299.2641223488.

The spelling of 26801800 in words is "twenty-six million, eight hundred one thousand, eight hundred".