81760 has 48 divisors (see below), whose sum is σ = 223776. Its totient is φ = 27648.

The previous prime is 81749. The next prime is 81761. The reversal of 81760 is 6718.

81760 = T₁₀₁ + T₁₀₂ + ... + T₁₁₄.

81760 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81761) by changing a digit.

81760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

2⁸¹⁷⁶⁰ is an apocalyptic number.

81760 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 81760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888).

81760 is an abundant number, since it is smaller than the sum of its proper divisors (142016).

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

81760 is a wasteful number, since it uses less digits than its factorization.

81760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 81760 is about 285.9370560106. The cubic root of 81760 is about 43.4023882537.

It can be divided in two parts, 81 and 760, that added together give a square (841 = 29²).

The spelling of 81760 in words is "eighty-one thousand, seven hundred sixty".