815712768 has 400 divisors, whose sum is σ = 2807398440. Its totient is φ = 233570304.

The previous prime is 815712757. The next prime is 815712787. The reversal of 815712768 is 867217518.

It is a happy number.

815712768 is a `hidden beast` number, since 8 + 1 + 571 + 2 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 550934784 + 264777984 = 23472^2 + 16272^2 .

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9165268 + ... + 9165356.

Almost surely, 2^815712768 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 815712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403699220).

815712768 is an abundant number, since it is smaller than the sum of its proper divisors (1991685672).

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

815712768 is a wasteful number, since it uses less digits than its factorization.

815712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 815712768 is about 28560.6857060540. The cubic root of 815712768 is about 934.3560888228.

The spelling of 815712768 in words is "eight hundred fifteen million, seven hundred twelve thousand, seven hundred sixty-eight".