828720 has 60 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 220800.

The previous prime is 828703. The next prime is 828721. The reversal of 828720 is 27828.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (828721) 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, 145 + ... + 1295.

2⁸²⁸⁷²⁰ is an apocalyptic number.

828720 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 828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

828720 is an abundant number, since it is smaller than the sum of its proper divisors (1956816).

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

828720 is a wasteful number, since it uses less digits than its factorization.

828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1161 counting only the distinct ones).

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

The square root of 828720 is about 910.3405956014. The cubic root of 828720 is about 93.9296289369.

The spelling of 828720 in words is "eight hundred twenty-eight thousand, seven hundred twenty".