871315200 has 324 divisors, whose sum is σ = 3561817168. Its totient is φ = 199065600.

The previous prime is 871315157. The next prime is 871315201. The reversal of 871315200 is 2513178.

871315200 is a `hidden beast` number, since 8 + 7 + 131 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871315201) 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, 402120 + ... + 404280.

Almost surely, 2^871315200 is an apocalyptic number.

871315200 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 871315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780908584).

871315200 is an abundant number, since it is smaller than the sum of its proper divisors (2690501968).

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

871315200 is a wasteful number, since it uses less digits than its factorization.

871315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 871315200 is about 29518.0487159975. The cubic root of 871315200 is about 955.1210796475.

Adding to 871315200 its reverse (2513178), we get a palindrome (873828378).

The spelling of 871315200 in words is "eight hundred seventy-one million, three hundred fifteen thousand, two hundred".