800472240 has 160 divisors (see below), whose sum is σ = 2792678400. Its totient is φ = 210712320.

The previous prime is 800472203. The next prime is 800472259. The reversal of 800472240 is 42274008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168295 + ... + 172985.

It is an arithmetic number, because the mean of its divisors is an integer number (17454240).

Almost surely, 2^800472240 is an apocalyptic number.

800472240 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 800472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396339200).

800472240 is an abundant number, since it is smaller than the sum of its proper divisors (1992206160).

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

800472240 is a wasteful number, since it uses less digits than its factorization.

800472240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 800472240 is about 28292.6181185128. The cubic root of 800472240 is about 928.5003927851.

The spelling of 800472240 in words is "eight hundred million, four hundred seventy-two thousand, two hundred forty".