819118080 has 360 divisors, whose sum is σ = 3128331024. Its totient is φ = 196608000.

The previous prime is 819118039. The next prime is 819118093. The reversal of 819118080 is 80811918.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1616 × 1584 × 320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8110030 + ... + 8110130.

Almost surely, 2^819118080 is an apocalyptic number.

819118080 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 819118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564165512).

819118080 is an abundant number, since it is smaller than the sum of its proper divisors (2309212944).

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

819118080 is a wasteful number, since it uses less digits than its factorization.

819118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 819118080 is about 28620.2389927128. The cubic root of 819118080 is about 935.6544856659.

Adding to 819118080 its reverse (80811918), we get a palindrome (899929998).

The spelling of 819118080 in words is "eight hundred nineteen million, one hundred eighteen thousand, eighty".