809948160 has 616 divisors, whose sum is σ = 3436601856. Its totient is φ = 179159040.

The previous prime is 809948147. The next prime is 809948177. The reversal of 809948160 is 61849908.

809948160 is a `hidden beast` number, since 80 + 99 + 481 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26127345 + ... + 26127375.

Almost surely, 2^809948160 is an apocalyptic number.

809948160 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 809948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718300928).

809948160 is an abundant number, since it is smaller than the sum of its proper divisors (2626653696).

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

809948160 is an equidigital number, since it uses as much as digits as its factorization.

809948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 809948160 is about 28459.5881909770. The cubic root of 809948160 is about 932.1498650739.

The spelling of 809948160 in words is "eight hundred nine million, nine hundred forty-eight thousand, one hundred sixty".