809140000 has 120 divisors (see below), whose sum is σ = 2078334720. Its totient is φ = 309408000.

The previous prime is 809139937. The next prime is 809140009. The reversal of 809140000 is 41908.

It is not an unprimeable number, because it can be changed into a prime (809140009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459121 + ... + 460879.

It is an arithmetic number, because the mean of its divisors is an integer number (17319456).

Almost surely, 2^809140000 is an apocalyptic number.

809140000 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 809140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039167360).

809140000 is an abundant number, since it is smaller than the sum of its proper divisors (1269194720).

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

809140000 is a wasteful number, since it uses less digits than its factorization.

809140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 809140000 is about 28445.3862691298. The cubic root of 809140000 is about 931.8397312630.

Adding to 809140000 its reverse (41908), we get a palindrome (809181908).

The spelling of 809140000 in words is "eight hundred nine million, one hundred forty thousand".