822400 has 48 divisors (see below), whose sum is σ = 2039490. Its totient is φ = 327680.

The previous prime is 822391. The next prime is 822407. The reversal of 822400 is 4228.

822400 = T₁₀₉ + T₁₁₀ + ... + T₁₈₃.

It can be written as a sum of positive squares in 3 ways, for example, as 788544 + 33856 = 888^2 + 184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3072 + ... + 3328.

2⁸²²⁴⁰⁰ is an apocalyptic number.

822400 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 822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019745).

822400 is an abundant number, since it is smaller than the sum of its proper divisors (1217090).

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

822400 is a wasteful number, since it uses less digits than its factorization.

822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 822400 is about 906.8627239004. The cubic root of 822400 is about 93.6902434005.

Adding to 822400 its reverse (4228), we get a palindrome (826628).

The spelling of 822400 in words is "eight hundred twenty-two thousand, four hundred".