812319860736 has 480 divisors, whose sum is σ = 2497960745280. Its totient is φ = 262862143488.

The previous prime is 812319860719. The next prime is 812319860741. The reversal of 812319860736 is 637068913218.

812319860736 is a `hidden beast` number, since 8 + 1 + 23 + 1 + 9 + 8 + 607 + 3 + 6 = 666.

It is a super-2 number, since 2×812319860736² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 1876027176 + ... + 1876027608.

It is an arithmetic number, because the mean of its divisors is an integer number (5204084886).

Almost surely, 2^812319860736 is an apocalyptic number.

812319860736 is a gapful number since it is divisible by the number (86) 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 812319860736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248980372640).

812319860736 is an abundant number, since it is smaller than the sum of its proper divisors (1685640884544).

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

812319860736 is a wasteful number, since it uses less digits than its factorization.

812319860736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 812319860736 in words is "eight hundred twelve billion, three hundred nineteen million, eight hundred sixty thousand, seven hundred thirty-six".