800282424960 has 192 divisors, whose sum is σ = 2773315289160. Its totient is φ = 212648755200.

The previous prime is 800282424917. The next prime is 800282424979. The reversal of 800282424960 is 69424282008.

800282424960 is a `hidden beast` number, since 80 + 0 + 2 + 82 + 4 + 2 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 755605993536 + 44676431424 = 869256^2 + 211368^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 1371340 + ... + 1865780.

Almost surely, 2^800282424960 is an apocalyptic number.

800282424960 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 800282424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386657644580).

800282424960 is an abundant number, since it is smaller than the sum of its proper divisors (1973032864200).

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

800282424960 is a wasteful number, since it uses less digits than its factorization.

800282424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494747 (or 494732 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 800282424960 in words is "eight hundred billion, two hundred eighty-two million, four hundred twenty-four thousand, nine hundred sixty".