815280768 has 128 divisors (see below), whose sum is σ = 2452161600. Its totient is φ = 266572800.

The previous prime is 815280751. The next prime is 815280773. The reversal of 815280768 is 867082518.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180943 + ... + 185393.

Almost surely, 2^815280768 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 815280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226080800).

815280768 is an abundant number, since it is smaller than the sum of its proper divisors (1636880832).

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

815280768 is a wasteful number, since it uses less digits than its factorization.

815280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 815280768 is about 28553.1218608404. The cubic root of 815280768 is about 934.1911152671.

The spelling of 815280768 in words is "eight hundred fifteen million, two hundred eighty thousand, seven hundred sixty-eight".