809100160 has 128 divisors (see below), whose sum is σ = 2122783200. Its totient is φ = 292454400.

The previous prime is 809100143. The next prime is 809100181. The reversal of 809100160 is 61001908.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978036 + ... + 1978444.

Almost surely, 2^809100160 is an apocalyptic number.

809100160 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 809100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061391600).

809100160 is an abundant number, since it is smaller than the sum of its proper divisors (1313683040).

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

809100160 is a wasteful number, since it uses less digits than its factorization.

809100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 809100160 is about 28444.6859711968. The cubic root of 809100160 is about 931.8244372042.

The spelling of 809100160 in words is "eight hundred nine million, one hundred thousand, one hundred sixty".