800609472 has 168 divisors, whose sum is σ = 2551785600. Its totient is φ = 238325760.

The previous prime is 800609449. The next prime is 800609473. The reversal of 800609472 is 274906008.

800609472 is a `hidden beast` number, since 8 + 0 + 0 + 609 + 47 + 2 = 666.

It is a super-2 number, since 2×800609472² = 1281951053312237568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (800609473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230404 + ... + 233852.

It is an arithmetic number, because the mean of its divisors is an integer number (15189200).

Almost surely, 2^800609472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275892800).

800609472 is an abundant number, since it is smaller than the sum of its proper divisors (1751176128).

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

800609472 is a wasteful number, since it uses less digits than its factorization.

800609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 800609472 is about 28295.0432408222. The cubic root of 800609472 is about 928.5534500841.

The spelling of 800609472 in words is "eight hundred million, six hundred nine thousand, four hundred seventy-two".