81110880 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 19768320.

The previous prime is 81110873. The next prime is 81110891. The reversal of 81110880 is 8801118.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1026681 + ... + 1026759.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^81110880 is an apocalyptic number.

81110880 is a gapful number since it is divisible by the number (80) 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 81110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

81110880 is an abundant number, since it is smaller than the sum of its proper divisors (220805280).

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

81110880 is a wasteful number, since it uses less digits than its factorization.

81110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 81110880 is about 9006.1578933527. The cubic root of 81110880 is about 432.8722090162.

Adding to 81110880 its reverse (8801118), we get a palindrome (89911998).

The spelling of 81110880 in words is "eighty-one million, one hundred ten thousand, eight hundred eighty".