809316144 has 480 divisors, whose sum is σ = 3099176640. Its totient is φ = 199729152.

The previous prime is 809316143. The next prime is 809316187. The reversal of 809316144 is 441613908.

809316144 is a `hidden beast` number, since 8 + 0 + 9 + 31 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 809316099 and 809316108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809316143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4678042 + ... + 4678214.

It is an arithmetic number, because the mean of its divisors is an integer number (6456618).

Almost surely, 2^809316144 is an apocalyptic number.

809316144 is a gapful number since it is divisible by the number (84) 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 809316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549588320).

809316144 is an abundant number, since it is smaller than the sum of its proper divisors (2289860496).

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

809316144 is a wasteful number, since it uses less digits than its factorization.

809316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 809316144 is about 28448.4822793765. The cubic root of 809316144 is about 931.9073446421.

The spelling of 809316144 in words is "eight hundred nine million, three hundred sixteen thousand, one hundred forty-four".