878316072200 has 108 divisors (see below), whose sum is σ = 2375737428285. Its totient is φ = 301105129920.

The previous prime is 878316072191. The next prime is 878316072209. The reversal of 878316072200 is 2270613878.

It is a happy number.

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 is an interprime number because it is at equal distance from previous prime (878316072191) and next prime (878316072209).

It can be written as a sum of positive squares in 2 ways, for example, as 860749750756 + 17566321444 = 927766^2 + 132538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=662690.

It is a super-2 number, since 2×878316072200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (878316072209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92771867 + ... + 92781333.

Almost surely, 2^878316072200 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 878316072200

878316072200 is an abundant number, since it is smaller than the sum of its proper divisors (1497421356085).

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

878316072200 is an frugal number, since it uses more digits than its factorization.

878316072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18964 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 878316072200 in words is "eight hundred seventy-eight billion, three hundred sixteen million, seventy-two thousand, two hundred".