882720 has 72 divisors (see below), whose sum is σ = 3017196. Its totient is φ = 235008.

The previous prime is 882719. The next prime is 882727. The reversal of 882720 is 27288.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 156816 = 852^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (882727) 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, 1134 + ... + 1746.

2⁸⁸²⁷²⁰ is an apocalyptic number.

882720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508598).

882720 is an abundant number, since it is smaller than the sum of its proper divisors (2134476).

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

882720 is a wasteful number, since it uses less digits than its factorization.

882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 882720 is about 939.5317982910. The cubic root of 882720 is about 95.9270278794.

It can be divided in two parts, 8 and 82720, that added together give a palindrome (82728).

The spelling of 882720 in words is "eight hundred eighty-two thousand, seven hundred twenty".