809958240 has 432 divisors, whose sum is σ = 3466492848. Its totient is φ = 170698752.

The previous prime is 809958223. The next prime is 809958241. The reversal of 809958240 is 42859908.

809958240 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809958241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916839 + ... + 917721.

It is an arithmetic number, because the mean of its divisors is an integer number (8024289).

Almost surely, 2^809958240 is an apocalyptic number.

809958240 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 809958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733246424).

809958240 is an abundant number, since it is smaller than the sum of its proper divisors (2656534608).

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

809958240 is a wasteful number, since it uses less digits than its factorization.

809958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 809958240 is about 28459.7652836421. The cubic root of 809958240 is about 932.1537320010.

The spelling of 809958240 in words is "eight hundred nine million, nine hundred fifty-eight thousand, two hundred forty".