809445120 has 144 divisors (see below), whose sum is σ = 2820327552. Its totient is φ = 196218880.

The previous prime is 809445113. The next prime is 809445137. The reversal of 809445120 is 21544908.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 32659 + ... + 51821.

It is an arithmetic number, because the mean of its divisors is an integer number (19585608).

Almost surely, 2^809445120 is an apocalyptic number.

809445120 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 809445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410163776).

809445120 is an abundant number, since it is smaller than the sum of its proper divisors (2010882432).

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

809445120 is a wasteful number, since it uses less digits than its factorization.

809445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19198 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 809445120 is about 28450.7490235319. The cubic root of 809445120 is about 931.9568462278.

The spelling of 809445120 in words is "eight hundred nine million, four hundred forty-five thousand, one hundred twenty".