828180 has 72 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 213696.

The previous prime is 828169. The next prime is 828199. The reversal of 828180 is 81828.

It is a super-2 number, since 2×828180² = 1371764224800, which contains 22 as substring.

It is a congruent number.

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, 7687 + ... + 7793.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2⁸²⁸¹⁸⁰ 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 828180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

828180 is an abundant number, since it is smaller than the sum of its proper divisors (1766412).

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

828180 is a wasteful number, since it uses less digits than its factorization.

828180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 828180 is about 910.0439549824. The cubic root of 828180 is about 93.9092227601.

The spelling of 828180 in words is "eight hundred twenty-eight thousand, one hundred eighty".