27750880 has 48 divisors (see below), whose sum is σ = 68421024. Its totient is φ = 10616320.

The previous prime is 27750787. The next prime is 27750889. The reversal of 27750880 is 8805772.

It is a super-2 number, since 2×27750880² = 1540222681548800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 91 + ... + 7450.

It is an arithmetic number, because the mean of its divisors is an integer number (1425438).

Almost surely, 2^27750880 is an apocalyptic number.

27750880 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 27750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34210512).

27750880 is an abundant number, since it is smaller than the sum of its proper divisors (40670144).

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

27750880 is a wasteful number, since it uses less digits than its factorization.

27750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 27750880 is about 5267.9104016678. The cubic root of 27750880 is about 302.7556475578.

The spelling of 27750880 in words is "twenty-seven million, seven hundred fifty thousand, eight hundred eighty".