809922240 has 140 divisors (see below), whose sum is σ = 2881128096. Its totient is φ = 215972352.

The previous prime is 809922233. The next prime is 809922251. The reversal of 809922240 is 42229908.

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 = 809922195 and 809922204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10297 + ... + 41543.

Almost surely, 2^809922240 is an apocalyptic number.

809922240 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 809922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440564048).

809922240 is an abundant number, since it is smaller than the sum of its proper divisors (2071205856).

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

809922240 is a wasteful number, since it uses less digits than its factorization.

809922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31276 (or 31257 counting only the distinct ones).

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

The square root of 809922240 is about 28459.1328047782. The cubic root of 809922240 is about 932.1399213995.

The spelling of 809922240 in words is "eight hundred nine million, nine hundred twenty-two thousand, two hundred forty".