819540000 has 360 divisors, whose sum is σ = 3031888860. Its totient is φ = 209664000.

The previous prime is 819539999. The next prime is 819540013. The reversal of 819540000 is 45918.

It can be written as a sum of positive squares in 10 ways, for example, as 111767184 + 707772816 = 10572^2 + 26604^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5219922 + ... + 5220078.

Almost surely, 2^819540000 is an apocalyptic number.

819540000 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 819540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515944430).

819540000 is an abundant number, since it is smaller than the sum of its proper divisors (2212348860).

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

819540000 is a wasteful number, since it uses less digits than its factorization.

819540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 819540000 is about 28627.6090514035. The cubic root of 819540000 is about 935.8151070254.

Adding to 819540000 its reverse (45918), we get a palindrome (819585918).

The spelling of 819540000 in words is "eight hundred nineteen million, five hundred forty thousand".