809242560 has 336 divisors, whose sum is σ = 3215249856. Its totient is φ = 182992896.

The previous prime is 809242541. The next prime is 809242561. The reversal of 809242560 is 65242908.

It is a happy number.

809242560 is a `hidden beast` number, since 8 + 0 + 92 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809242561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2761774 + ... + 2762066.

It is an arithmetic number, because the mean of its divisors is an integer number (9569196).

Almost surely, 2^809242560 is an apocalyptic number.

809242560 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 809242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607624928).

809242560 is an abundant number, since it is smaller than the sum of its proper divisors (2406007296).

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

809242560 is a wasteful number, since it uses less digits than its factorization.

809242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 809242560 is about 28447.1889648169. The cubic root of 809242560 is about 931.8791004061.

The spelling of 809242560 in words is "eight hundred nine million, two hundred forty-two thousand, five hundred sixty".