882980 has 72 divisors (see below), whose sum is σ = 2326968. Its totient is φ = 279552.

The previous prime is 882979. The next prime is 883013. The reversal of 882980 is 89288.

882980 = T₁₆₀ + T₁₆₁ + ... + T₂₁₀.

882980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 614656 = 518^2 + 784^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 882980.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16634 + ... + 16686.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁸⁸²⁹⁸⁰ 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 882980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163484).

882980 is an abundant number, since it is smaller than the sum of its proper divisors (1443988).

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

882980 is a wasteful number, since it uses less digits than its factorization.

882980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 882980 is about 939.6701548948. The cubic root of 882980 is about 95.9364452027.

The spelling of 882980 in words is "eight hundred eighty-two thousand, nine hundred eighty".