815840000 has 90 divisors (see below), whose sum is σ = 2035364100. Its totient is φ = 326272000.

The previous prime is 815839987. The next prime is 815840021. The reversal of 815840000 is 48518.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157451 + ... + 162549.

Almost surely, 2^815840000 is an apocalyptic number.

815840000 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 815840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017682050).

815840000 is an abundant number, since it is smaller than the sum of its proper divisors (1219524100).

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

815840000 is an frugal number, since it uses more digits than its factorization.

815840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 815840000 is about 28562.9130167075. The cubic root of 815840000 is about 934.4046654862.

Adding to 815840000 its reverse (48518), we get a palindrome (815888518).

The spelling of 815840000 in words is "eight hundred fifteen million, eight hundred forty thousand".