812429200 has 120 divisors (see below), whose sum is σ = 2203073280. Its totient is φ = 285196800.

The previous prime is 812429173. The next prime is 812429231. The reversal of 812429200 is 2924218.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124417 + ... + 130783.

It is an arithmetic number, because the mean of its divisors is an integer number (18358944).

Almost surely, 2^812429200 is an apocalyptic number.

812429200 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 812429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101536640).

812429200 is an abundant number, since it is smaller than the sum of its proper divisors (1390644080).

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

812429200 is a wasteful number, since it uses less digits than its factorization.

812429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 812429200 is about 28503.1436862673. The cubic root of 812429200 is about 933.1006846437.

The spelling of 812429200 in words is "eight hundred twelve million, four hundred twenty-nine thousand, two hundred".