127782 has 24 divisors (see below), whose sum is σ = 287040. Its totient is φ = 41040.

The previous prime is 127781. The next prime is 127807. The reversal of 127782 is 287721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (11960).

2¹²⁷⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143520).

127782 is an abundant number, since it is smaller than the sum of its proper divisors (159258).

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

127782 is a wasteful number, since it uses less digits than its factorization.

127782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 265 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 127782 is about 357.4660823071. The cubic root of 127782 is about 50.3682150307.

It can be divided in two parts, 127 and 782, that added together give a palindrome (909).

The spelling of 127782 in words is "one hundred twenty-seven thousand, seven hundred eighty-two".