825720 has 64 divisors (see below), whose sum is σ = 2833920. Its totient is φ = 188544.

The previous prime is 825709. The next prime is 825733. The reversal of 825720 is 27528.

825720 is nontrivially palindromic in base 11.

825720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 8³ + 2⁴ + 7⁷ + 5⁴ + 2¹⁰ + 0 .

It is a congruent number.

It is an unprimeable number.

825720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (44280).

2⁸²⁵⁷²⁰ 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 825720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416960).

825720 is an abundant number, since it is smaller than the sum of its proper divisors (2008200).

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

825720 is a wasteful number, since it uses less digits than its factorization.

825720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 825720 is about 908.6913667467. The cubic root of 825720 is about 93.8161488707.

The spelling of 825720 in words is "eight hundred twenty-five thousand, seven hundred twenty".