815830120 has 64 divisors (see below), whose sum is σ = 2117174400. Its totient is φ = 277136640.

The previous prime is 815830097. The next prime is 815830139. The reversal of 815830120 is 21038518.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 17155 + ... + 43885.

It is an arithmetic number, because the mean of its divisors is an integer number (33080850).

Almost surely, 2^815830120 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 815830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058587200).

815830120 is an abundant number, since it is smaller than the sum of its proper divisors (1301344280).

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

815830120 is a wasteful number, since it uses less digits than its factorization.

815830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26858 (or 26854 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 815830120 is about 28562.7400646367. The cubic root of 815830120 is about 934.4008935230.

Adding to 815830120 its reverse (21038518), we get a palindrome (836868638).

The spelling of 815830120 in words is "eight hundred fifteen million, eight hundred thirty thousand, one hundred twenty".