816768576 has 224 divisors, whose sum is σ = 2618353920. Its totient is φ = 248168448.

The previous prime is 816768559. The next prime is 816768581. The reversal of 816768576 is 675867618.

816768576 is a `hidden beast` number, since 8 + 1 + 6 + 7 + 68 + 576 = 666.

It is a super-2 number, since 2×816768576² = 1334221813482135552, which contains 22 as substring.

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

Its product of digits (3386880) is a multiple of the sum of its prime factors (490).

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, 2313616 + ... + 2313968.

It is an arithmetic number, because the mean of its divisors is an integer number (11689080).

Almost surely, 2^816768576 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 816768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309176960).

816768576 is an abundant number, since it is smaller than the sum of its proper divisors (1801585344).

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

816768576 is a wasteful number, since it uses less digits than its factorization.

816768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 816768576 is about 28579.1633187538. The cubic root of 816768576 is about 934.7590392061.

The spelling of 816768576 in words is "eight hundred sixteen million, seven hundred sixty-eight thousand, five hundred seventy-six".