819000080 has 40 divisors (see below), whose sum is σ = 1905728472. Its totient is φ = 327332864.

The previous prime is 819000053. The next prime is 819000089. The reversal of 819000080 is 80000918.

It can be written as a sum of positive squares in 4 ways, for example, as 26915344 + 792084736 = 5188^2 + 28144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×819000080² = 1341522262080012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (819000089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116012 + ... + 122868.

Almost surely, 2^819000080 is an apocalyptic number.

819000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819000080 is an abundant number, since it is smaller than the sum of its proper divisors (1086728392).

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

819000080 is a wasteful number, since it uses less digits than its factorization.

819000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 819000080 is about 28618.1774402215. The cubic root of 819000080 is about 935.6095541987.

Adding to 819000080 its reverse (80000918), we get a palindrome (899000998).

The spelling of 819000080 in words is "eight hundred nineteen million, eighty", and thus it is an aban number.