812298000 has 160 divisors (see below), whose sum is σ = 2690363520. Its totient is φ = 210700800.

The previous prime is 812297977. The next prime is 812298031. The reversal of 812298000 is 892218.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 220171 + ... + 223829.

It is an arithmetic number, because the mean of its divisors is an integer number (16814772).

Almost surely, 2^812298000 is an apocalyptic number.

812298000 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 812298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345181760).

812298000 is an abundant number, since it is smaller than the sum of its proper divisors (1878065520).

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

812298000 is a wasteful number, since it uses less digits than its factorization.

812298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 812298000 is about 28500.8420928225. The cubic root of 812298000 is about 933.0504528202.

The spelling of 812298000 in words is "eight hundred twelve million, two hundred ninety-eight thousand".