804885766272 has 288 divisors, whose sum is σ = 2794082119920. Its totient is φ = 229966926336.

The previous prime is 804885766271. The next prime is 804885766319. The reversal of 804885766272 is 272667588408.

804885766272 is a `hidden beast` number, since 80 + 488 + 5 + 7 + 6 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×804885766272² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (804885766271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1260043 + ... + 1788149.

Almost surely, 2^804885766272 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 804885766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397041059960).

804885766272 is an abundant number, since it is smaller than the sum of its proper divisors (1989196353648).

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

804885766272 is an equidigital number, since it uses as much as digits as its factorization.

804885766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528150 (or 528119 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 804885766272 in words is "eight hundred four billion, eight hundred eighty-five million, seven hundred sixty-six thousand, two hundred seventy-two".