26430800 has 60 divisors (see below), whose sum is σ = 69284256. Its totient is φ = 9609600.

The previous prime is 26430787. The next prime is 26430809. The reversal of 26430800 is 803462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26430809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397 + ... + 7403.

Almost surely, 2^26430800 is an apocalyptic number.

26430800 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 26430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34642128).

26430800 is an abundant number, since it is smaller than the sum of its proper divisors (42853456).

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

26430800 is a wasteful number, since it uses less digits than its factorization.

26430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 26430800 is about 5141.0893787212. The cubic root of 26430800 is about 297.8768615756.

The spelling of 26430800 in words is "twenty-six million, four hundred thirty thousand, eight hundred".