809830400 has 72 divisors (see below), whose sum is σ = 2008016010. Its totient is φ = 323911680.

The previous prime is 809830379. The next prime is 809830409. The reversal of 809830400 is 4038908.

It can be written as a sum of positive squares in 3 ways, for example, as 734626816 + 75203584 = 27104^2 + 8672^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (809830409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43292 + ... + 59108.

Almost surely, 2^809830400 is an apocalyptic number.

809830400 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 809830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004008005).

809830400 is an abundant number, since it is smaller than the sum of its proper divisors (1198185610).

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

809830400 is a wasteful number, since it uses less digits than its factorization.

809830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 809830400 is about 28457.5192172473. The cubic root of 809830400 is about 932.1046871667.

The spelling of 809830400 in words is "eight hundred nine million, eight hundred thirty thousand, four hundred".