80766 has 24 divisors (see below), whose sum is σ = 200304. Its totient is φ = 23040.

The previous prime is 80761. The next prime is 80777. The reversal of 80766 is 66708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80761) by changing a digit.

80766 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 11 ways as a sum of consecutive naturals, for example, 195 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (8346).

2⁸⁰⁷⁶⁶ is an apocalyptic number.

80766 is an abundant number, since it is smaller than the sum of its proper divisors (119538).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100152).

80766 is a wasteful number, since it uses less digits than its factorization.

80766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80766 is about 284.1935959870. The cubic root of 80766 is about 43.2257819353.

The spelling of 80766 in words is "eighty thousand, seven hundred sixty-six".