805052275200 has 720 divisors, whose sum is σ = 3004154730720. Its totient is φ = 205687848960.

The previous prime is 805052275199. The next prime is 805052275217. The reversal of 805052275200 is 2572250508.

805052275200 is a `hidden beast` number, since 80 + 5 + 0 + 52 + 2 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285579391 + ... + 285582209.

It is an arithmetic number, because the mean of its divisors is an integer number (4172437126).

Almost surely, 2^805052275200 is an apocalyptic number.

805052275200 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 805052275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502077365360).

805052275200 is an abundant number, since it is smaller than the sum of its proper divisors (2199102455520).

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

805052275200 is a wasteful number, since it uses less digits than its factorization.

805052275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 805052275200 in words is "eight hundred five billion, fifty-two million, two hundred seventy-five thousand, two hundred".