815364768 has 48 divisors (see below), whose sum is σ = 2150529696. Its totient is φ = 270493440.

The previous prime is 815364731. The next prime is 815364769. The reversal of 815364768 is 867463518.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×815364768³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (815364769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 130 + ... + 40382.

It is an arithmetic number, because the mean of its divisors is an integer number (44802702).

Almost surely, 2^815364768 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 815364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075264848).

815364768 is an abundant number, since it is smaller than the sum of its proper divisors (1335164928).

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

815364768 is a wasteful number, since it uses less digits than its factorization.

815364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40477 (or 40469 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 815364768 is about 28554.5927654379. The cubic root of 815364768 is about 934.2231980218.

The spelling of 815364768 in words is "eight hundred fifteen million, three hundred sixty-four thousand, seven hundred sixty-eight".