26781000 has 128 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 6988800.

The previous prime is 26780983. The next prime is 26781017. The reversal of 26781000 is 18762.

It is an interprime number because it is at equal distance from previous prime (26780983) and next prime (26781017).

It is a super-2 number, since 2×26781000² = 1434443922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236944 + ... + 237056.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^26781000 is an apocalyptic number.

26781000 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 26781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42681600).

26781000 is an abundant number, since it is smaller than the sum of its proper divisors (58582200).

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

26781000 is a wasteful number, since it uses less digits than its factorization.

26781000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 26781000 is about 5175.0362317572. The cubic root of 26781000 is about 299.1866859490.

Adding to 26781000 its reverse (18762), we get a palindrome (26799762).

The spelling of 26781000 in words is "twenty-six million, seven hundred eighty-one thousand".