26380800 has 180 divisors, whose sum is σ = 94821870. Its totient is φ = 7004160.

The previous prime is 26380789. The next prime is 26380859. The reversal of 26380800 is 808362.

It can be written as a sum of positive squares in 3 ways, for example, as 24443136 + 1937664 = 4944^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 17 ways as a sum of consecutive naturals, for example, 115086 + ... + 115314.

Almost surely, 2^26380800 is an apocalyptic number.

26380800 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 26380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410935).

26380800 is an abundant number, since it is smaller than the sum of its proper divisors (68441070).

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

26380800 is a wasteful number, since it uses less digits than its factorization.

26380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26380800 is about 5136.2242941678. The cubic root of 26380800 is about 297.6889085728.

Subtracting from 26380800 its product of nonzero digits (2304), we obtain a square (26378496 = 5136²).

The spelling of 26380800 in words is "twenty-six million, three hundred eighty thousand, eight hundred".