822768 has 40 divisors (see below), whose sum is σ = 2168016. Its totient is φ = 268800.

The previous prime is 822763. The next prime is 822781. The reversal of 822768 is 867228.

822768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2788 + ... + 3068.

2⁸²²⁷⁶⁸ 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 822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084008).

822768 is an abundant number, since it is smaller than the sum of its proper divisors (1345248).

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

822768 is a wasteful number, since it uses less digits than its factorization.

822768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 822768 is about 907.0655985098. The cubic root of 822768 is about 93.7042158665.

It can be divided in two parts, 82 and 2768, that added together give a triangular number (2850 = T₇₅).

The spelling of 822768 in words is "eight hundred twenty-two thousand, seven hundred sixty-eight".