822401200 has 60 divisors (see below), whose sum is σ = 1991499520. Its totient is φ = 326350080.

The previous prime is 822401191. The next prime is 822401213. The reversal of 822401200 is 2104228.

It is a super-2 number, since 2×822401200² = 1352687467522880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42706 + ... + 58894.

Almost surely, 2^822401200 is an apocalyptic number.

822401200 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 822401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995749760).

822401200 is an abundant number, since it is smaller than the sum of its proper divisors (1169098320).

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

822401200 is a wasteful number, since it uses less digits than its factorization.

822401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334 (or 16323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 822401200 is about 28677.5382486015. The cubic root of 822401200 is about 936.9028896966.

Adding to 822401200 its reverse (2104228), we get a palindrome (824505428).

The spelling of 822401200 in words is "eight hundred twenty-two million, four hundred one thousand, two hundred".