809136000 has 256 divisors, whose sum is σ = 2981908800. Its totient is φ = 215654400.

The previous prime is 809135993. The next prime is 809136011. The reversal of 809136000 is 631908.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431064 + ... + 432936.

Almost surely, 2^809136000 is an apocalyptic number.

809136000 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 809136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490954400).

809136000 is an abundant number, since it is smaller than the sum of its proper divisors (2172772800).

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

809136000 is a wasteful number, since it uses less digits than its factorization.

809136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 809136000 is about 28445.3159588710. The cubic root of 809136000 is about 931.8381957376.

Adding to 809136000 its reverse (631908), we get a palindrome (809767908).

The spelling of 809136000 in words is "eight hundred nine million, one hundred thirty-six thousand".