88782 has 8 divisors (see below), whose sum is σ = 177576. Its totient is φ = 29592.

The previous prime is 88771. The next prime is 88789. The reversal of 88782 is 28788.

It is a sphenic number, since it is the product of 3 distinct primes.

88782 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88789) 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, 7393 + ... + 7404.

It is an arithmetic number, because the mean of its divisors is an integer number (22197).

2⁸⁸⁷⁸² is an apocalyptic number.

88782 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (88788).

88782 is a wasteful number, since it uses less digits than its factorization.

88782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802.

The product of its digits is 7168, while the sum is 33.

The square root of 88782 is about 297.9630849619. The cubic root of 88782 is about 44.6109674276.

It can be divided in two parts, 887 and 82, that added together give a palindrome (969).

The spelling of 88782 in words is "eighty-eight thousand, seven hundred eighty-two".