26875800 has 288 divisors, whose sum is σ = 108326400. Its totient is φ = 6065280.

The previous prime is 26875763. The next prime is 26875847. The reversal of 26875800 is 857862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340161 + ... + 340239.

Almost surely, 2^26875800 is an apocalyptic number.

26875800 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 26875800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

26875800 is an abundant number, since it is smaller than the sum of its proper divisors (81450600).

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

26875800 is a wasteful number, since it uses less digits than its factorization.

26875800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 26875800 is about 5184.1874966093. The cubic root of 26875800 is about 299.5392928586.

It can be divided in two parts, 26 and 875800, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 26875800 in words is "twenty-six million, eight hundred seventy-five thousand, eight hundred".