82780 has 12 divisors (see below), whose sum is σ = 173880. Its totient is φ = 33104.

The previous prime is 82763. The next prime is 82781. The reversal of 82780 is 8728.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2050 + ... + 2089.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2⁸²⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

82780 is an abundant number, since it is smaller than the sum of its proper divisors (91100).

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 (86940).

82780 is a wasteful number, since it uses less digits than its factorization.

82780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 82780 is about 287.7151368976. The cubic root of 82780 is about 43.5821322291.

The spelling of 82780 in words is "eighty-two thousand, seven hundred eighty".