815360000 has 360 divisors, whose sum is σ = 2552159610. Its totient is φ = 258048000.

The previous prime is 815359973. The next prime is 815360017. The reversal of 815360000 is 63518.

It can be written as a sum of positive squares in 5 ways, for example, as 6071296 + 809288704 = 2464^2 + 28448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62719994 + ... + 62720006.

Almost surely, 2^815360000 is an apocalyptic number.

815360000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276079805).

815360000 is an abundant number, since it is smaller than the sum of its proper divisors (1736799610).

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

815360000 is an equidigital number, since it uses as much as digits as its factorization.

815360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 815360000 is about 28554.5092761196. The cubic root of 815360000 is about 934.2213770026.

The spelling of 815360000 in words is "eight hundred fifteen million, three hundred sixty thousand".