828780 has 48 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 209088.

The previous prime is 828757. The next prime is 828787. The reversal of 828780 is 87828.

828780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (828787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

2⁸²⁸⁷⁸⁰ 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 828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

828780 is an abundant number, since it is smaller than the sum of its proper divisors (1617300).

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

828780 is a wasteful number, since it uses less digits than its factorization.

828780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

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

The square root of 828780 is about 910.3735497036. The cubic root of 828780 is about 93.9318957427.

The spelling of 828780 in words is "eight hundred twenty-eight thousand, seven hundred eighty".