805967472200 has 324 divisors, whose sum is σ = 2143960267995. Its totient is φ = 281550931200.

The previous prime is 805967472199. The next prime is 805967472209. The reversal of 805967472200 is 2274769508.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 309142672036 + 496824800164 = 556006^2 + 704858^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=634810.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (805967472209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4050087701 + ... + 4050087899.

Almost surely, 2^805967472200 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 805967472200

805967472200 is an abundant number, since it is smaller than the sum of its proper divisors (1337992795795).

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

805967472200 is a wasteful number, since it uses less digits than its factorization.

805967472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

Multiplying 805967472200 by its sum of digits (50), we get a square (40298373610000 = 6348100²).

805967472200 divided by its sum of digits (50) gives a square (16119349444 = 126962²).

The spelling of 805967472200 in words is "eight hundred five billion, nine hundred sixty-seven million, four hundred seventy-two thousand, two hundred".