802855872 has 504 divisors, whose sum is σ = 3065471136. Its totient is φ = 195526656.

The previous prime is 802855817. The next prime is 802855877. The reversal of 802855872 is 278558208.

802855872 is a `hidden beast` number, since 8 + 0 + 28 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802855877) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15148198 + ... + 15148250.

It is an arithmetic number, because the mean of its divisors is an integer number (6082284).

Almost surely, 2^802855872 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 802855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532735568).

802855872 is an abundant number, since it is smaller than the sum of its proper divisors (2262615264).

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

802855872 is a wasteful number, since it uses less digits than its factorization.

802855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 802855872 is about 28334.7114331521. The cubic root of 802855872 is about 929.4211034825.

The spelling of 802855872 in words is "eight hundred two million, eight hundred fifty-five thousand, eight hundred seventy-two".