812287872 has 256 divisors, whose sum is σ = 2731968000. Its totient is φ = 235192320.

The previous prime is 812287871. The next prime is 812287873. The reversal of 812287872 is 278782218.

It is an interprime number because it is at equal distance from previous prime (812287871) and next prime (812287873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812287871) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 873904 + ... + 874832.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^812287872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

812287872 is an abundant number, since it is smaller than the sum of its proper divisors (1919680128).

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

812287872 is a wasteful number, since it uses less digits than its factorization.

812287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 968 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 812287872 is about 28500.6644133080. The cubic root of 812287872 is about 933.0465749436.

The spelling of 812287872 in words is "eight hundred twelve million, two hundred eighty-seven thousand, eight hundred seventy-two".