26778440 has 64 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 9453312.

The previous prime is 26778419. The next prime is 26778449. The reversal of 26778440 is 4487762.

It is a junction number, because it is equal to n+sod(n) for n = 26778394 and 26778403.

It is not an unprimeable number, because it can be changed into a prime (26778449) 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, 10841 + ... + 13079.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^26778440 is an apocalyptic number.

26778440 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 26778440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

26778440 is an abundant number, since it is smaller than the sum of its proper divisors (40959160).

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

26778440 is a wasteful number, since it uses less digits than its factorization.

26778440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 26778440 is about 5174.7888845826. The cubic root of 26778440 is about 299.1771525444.

The spelling of 26778440 in words is "twenty-six million, seven hundred seventy-eight thousand, four hundred forty".