26278080 has 112 divisors (see below), whose sum is σ = 86221824. Its totient is φ = 6773760.

The previous prime is 26278067. The next prime is 26278093. The reversal of 26278080 is 8087262.

It is an interprime number because it is at equal distance from previous prime (26278067) and next prime (26278093).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29319 + ... + 30201.

Almost surely, 2^26278080 is an apocalyptic number.

26278080 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 26278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110912).

26278080 is an abundant number, since it is smaller than the sum of its proper divisors (59943744).

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

26278080 is a wasteful number, since it uses less digits than its factorization.

26278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 26278080 is about 5126.2149779345. The cubic root of 26278080 is about 297.3020315112.

The spelling of 26278080 in words is "twenty-six million, two hundred seventy-eight thousand, eighty".