822720 has 56 divisors (see below), whose sum is σ = 2615184. Its totient is φ = 219136.

The previous prime is 822713. The next prime is 822721. The reversal of 822720 is 27228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822721) by changing a digit.

822720 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 7 ways as a sum of consecutive naturals, for example, 532 + ... + 1388.

2⁸²²⁷²⁰ is an apocalyptic number.

822720 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 822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307592).

822720 is an abundant number, since it is smaller than the sum of its proper divisors (1792464).

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

822720 is a wasteful number, since it uses less digits than its factorization.

822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 822720 is about 907.0391391776. The cubic root of 822720 is about 93.7023936073.

Adding to 822720 its reverse (27228), we get a palindrome (849948).

The spelling of 822720 in words is "eight hundred twenty-two thousand, seven hundred twenty".