812822400 has 432 divisors, whose sum is σ = 3159407160. Its totient is φ = 198881280.

The previous prime is 812822399. The next prime is 812822419. The reversal of 812822400 is 4228218.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4867117 + ... + 4867283.

Almost surely, 2^812822400 is an apocalyptic number.

812822400 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 812822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579703580).

812822400 is an abundant number, since it is smaller than the sum of its proper divisors (2346584760).

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

812822400 is a wasteful number, since it uses less digits than its factorization.

812822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 812822400 is about 28510.0403366954. The cubic root of 812822400 is about 933.2511945856.

It can be divided in two parts, 81 and 2822400, that multiplied together give a square (228614400 = 15120²).

The spelling of 812822400 in words is "eight hundred twelve million, eight hundred twenty-two thousand, four hundred".