815342080 has 160 divisors (see below), whose sum is σ = 2255641344. Its totient is φ = 276873216.

The previous prime is 815342071. The next prime is 815342107. The reversal of 815342080 is 80243518.

It is a tau number, because it is divible by the number of its divisors (160).

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, 3100029 + ... + 3100291.

Almost surely, 2^815342080 is an apocalyptic number.

815342080 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 815342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127820672).

815342080 is an abundant number, since it is smaller than the sum of its proper divisors (1440299264).

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

815342080 is a wasteful number, since it uses less digits than its factorization.

815342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 815342080 is about 28554.1954885793. The cubic root of 815342080 is about 934.2145328398.

Adding to 815342080 its reverse (80243518), we get a palindrome (895585598).

The spelling of 815342080 in words is "eight hundred fifteen million, three hundred forty-two thousand, eighty".