26782120 has 64 divisors (see below), whose sum is σ = 64437120. Its totient is φ = 9993984.

The previous prime is 26782009. The next prime is 26782121. The reversal of 26782120 is 2128762.

It is not an unprimeable number, because it can be changed into a prime (26782121) 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 15 ways as a sum of consecutive naturals, for example, 39222 + ... + 39898.

It is an arithmetic number, because the mean of its divisors is an integer number (1006830).

Almost surely, 2^26782120 is an apocalyptic number.

26782120 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 26782120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32218560).

26782120 is an abundant number, since it is smaller than the sum of its proper divisors (37655000).

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

26782120 is a wasteful number, since it uses less digits than its factorization.

26782120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 26782120 is about 5175.1444424286. The cubic root of 26782120 is about 299.1908566224.

The spelling of 26782120 in words is "twenty-six million, seven hundred eighty-two thousand, one hundred twenty".