812299392 has 96 divisors (see below), whose sum is σ = 2359285500. Its totient is φ = 268240896.

The previous prime is 812299391. The next prime is 812299399. The reversal of 812299392 is 293992218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 787139136 + 25160256 = 28056^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (812299391) 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 11 ways as a sum of consecutive naturals, for example, 122334 + ... + 128802.

Almost surely, 2^812299392 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 812299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179642750).

812299392 is an abundant number, since it is smaller than the sum of its proper divisors (1546986108).

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

812299392 is a wasteful number, since it uses less digits than its factorization.

812299392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6583 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 812299392 is about 28500.8665131431. The cubic root of 812299392 is about 933.0509857960.

The spelling of 812299392 in words is "eight hundred twelve million, two hundred ninety-nine thousand, three hundred ninety-two".