822268800 has 384 divisors, whose sum is σ = 3116467200. Its totient is φ = 211507200.

The previous prime is 822268787. The next prime is 822268873. The reversal of 822268800 is 8862228.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×822268800² = 1352251958906880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678247 + ... + 2678553.

It is an arithmetic number, because the mean of its divisors is an integer number (8115800).

Almost surely, 2^822268800 is an apocalyptic number.

822268800 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 822268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558233600).

822268800 is an abundant number, since it is smaller than the sum of its proper divisors (2294198400).

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

822268800 is a wasteful number, since it uses less digits than its factorization.

822268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 822268800 is about 28675.2297288095. The cubic root of 822268800 is about 936.8526090469.

The spelling of 822268800 in words is "eight hundred twenty-two million, two hundred sixty-eight thousand, eight hundred".