819000000 has 588 divisors, whose sum is σ = 3611516272. Its totient is φ = 172800000.

The previous prime is 818999971. The next prime is 819000023. The reversal of 819000000 is 918.

It is a super-2 number, since 2×819000000² = 1341522000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62999994 + ... + 63000006.

Almost surely, 2^819000000 is an apocalyptic number.

819000000 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 819000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805758136).

819000000 is an abundant number, since it is smaller than the sum of its proper divisors (2792516272).

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

819000000 is an equidigital number, since it uses as much as digits as its factorization.

819000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 819000000 is about 28618.1760425084. The cubic root of 819000000 is about 935.6095237352.

Adding to 819000000 its reverse (918), we get a palindrome (819000918).

It can be divided in two parts, 81 and 9000000, that multiplied together give a 6-th power (729000000 = 30⁶).

The spelling of 819000000 in words is "eight hundred nineteen million", and thus it is an aban number.