812022400 has 96 divisors (see below), whose sum is σ = 2292576480. Its totient is φ = 278400000.

The previous prime is 812022373. The next prime is 812022433. The reversal of 812022400 is 4220218.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4275 + ... + 40525.

It is an arithmetic number, because the mean of its divisors is an integer number (23881005).

Almost surely, 2^812022400 is an apocalyptic number.

812022400 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 812022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146288240).

812022400 is an abundant number, since it is smaller than the sum of its proper divisors (1480554080).

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

812022400 is a wasteful number, since it uses less digits than its factorization.

812022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36282 (or 36265 counting only the distinct ones).

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

The square root of 812022400 is about 28496.0067377870. The cubic root of 812022400 is about 932.9449177446.

Adding to 812022400 its reverse (4220218), we get a palindrome (816242618).

The spelling of 812022400 in words is "eight hundred twelve million, twenty-two thousand, four hundred".