26802720 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 6124032.

The previous prime is 26802719. The next prime is 26802733. The reversal of 26802720 is 2720862.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8751 + ... + 11409.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^26802720 is an apocalyptic number.

26802720 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 26802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

26802720 is an abundant number, since it is smaller than the sum of its proper divisors (77767200).

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

26802720 is a wasteful number, since it uses less digits than its factorization.

26802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26802720 is about 5177.1343424717. The cubic root of 26802720 is about 299.2675464949.

The spelling of 26802720 in words is "twenty-six million, eight hundred two thousand, seven hundred twenty".