26768880 has 200 divisors, whose sum is σ = 98846352. Its totient is φ = 6718464.

The previous prime is 26768879. The next prime is 26768927. The reversal of 26768880 is 8886762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1574632 + ... + 1574648.

Almost surely, 2^26768880 is an apocalyptic number.

26768880 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 26768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423176).

26768880 is an abundant number, since it is smaller than the sum of its proper divisors (72077472).

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

26768880 is an frugal number, since it uses more digits than its factorization.

26768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 26768880 is about 5173.8650929455. The cubic root of 26768880 is about 299.1415458647.

The spelling of 26768880 in words is "twenty-six million, seven hundred sixty-eight thousand, eight hundred eighty".