809827040 has 96 divisors (see below), whose sum is σ = 2097373824. Its totient is φ = 293040640.

The previous prime is 809827037. The next prime is 809827049. The reversal of 809827040 is 40728908.

It is a junction number, because it is equal to n+sod(n) for n = 809826985 and 809827003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809827049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 398507 + ... + 400533.

It is an arithmetic number, because the mean of its divisors is an integer number (21847644).

Almost surely, 2^809827040 is an apocalyptic number.

809827040 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 809827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

809827040 is an abundant number, since it is smaller than the sum of its proper divisors (1287546784).

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

809827040 is a wasteful number, since it uses less digits than its factorization.

809827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 809827040 is about 28457.4601818223. The cubic root of 809827040 is about 932.1033980589.

The spelling of 809827040 in words is "eight hundred nine million, eight hundred twenty-seven thousand, forty".