819215712 has 144 divisors (see below), whose sum is σ = 2717114400. Its totient is φ = 234033408.

The previous prime is 819215707. The next prime is 819215773. The reversal of 819215712 is 217512918.

It is a happy number.

819215712 is a `hidden beast` number, since 81 + 9 + 2 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×819215712² = 1342228765575333888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 94638 + ... + 102930.

It is an arithmetic number, because the mean of its divisors is an integer number (18868850).

Almost surely, 2^819215712 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 819215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358557200).

819215712 is an abundant number, since it is smaller than the sum of its proper divisors (1897898688).

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

819215712 is a wasteful number, since it uses less digits than its factorization.

819215712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330 (or 8305 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 819215712 is about 28621.9445880255. The cubic root of 819215712 is about 935.6916582428.

The spelling of 819215712 in words is "eight hundred nineteen million, two hundred fifteen thousand, seven hundred twelve".