882820 has 24 divisors (see below), whose sum is σ = 1905624. Its totient is φ = 343296.

The previous prime is 882779. The next prime is 882823. The reversal of 882820 is 28288.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 636804 = 496^2 + 798^2 .

It is a super-3 number, since 3×882820³ = 2064133322285304000, which contains 333 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (882823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 1336.

It is an arithmetic number, because the mean of its divisors is an integer number (79401).

2⁸⁸²⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952812).

882820 is an abundant number, since it is smaller than the sum of its proper divisors (1022804).

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

882820 is a wasteful number, since it uses less digits than its factorization.

882820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 882820 is about 939.5850147805. The cubic root of 882820 is about 95.9306501456.

It can be divided in two parts, 88 and 2820, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 882820 in words is "eight hundred eighty-two thousand, eight hundred twenty".