26478800 has 60 divisors (see below), whose sum is σ = 64867500. Its totient is φ = 10383360.

The previous prime is 26478757. The next prime is 26478817. The reversal of 26478800 is 887462.

It can be written as a sum of positive squares in 6 ways, for example, as 141376 + 26337424 = 376^2 + 5132^2 .

It is a super-2 number, since 2×26478800² = 1402253698880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20576 + ... + 21824.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125).

Almost surely, 2^26478800 is an apocalyptic number.

26478800 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 26478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32433750).

26478800 is an abundant number, since it is smaller than the sum of its proper divisors (38388700).

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

26478800 is a wasteful number, since it uses less digits than its factorization.

26478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 26478800 is about 5145.7555324753. The cubic root of 26478800 is about 298.0570735842.

The spelling of 26478800 in words is "twenty-six million, four hundred seventy-eight thousand, eight hundred".