871872800 has 36 divisors (see below), whose sum is σ = 2128461426. Its totient is φ = 348748800.

The previous prime is 871872769. The next prime is 871872803. The reversal of 871872800 is 8278178.

It can be written as a sum of positive squares in 3 ways, for example, as 532871056 + 339001744 = 23084^2 + 18412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871872803) 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 5 ways as a sum of consecutive naturals, for example, 544121 + ... + 545720.

Almost surely, 2^871872800 is an apocalyptic number.

871872800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871872800 is an abundant number, since it is smaller than the sum of its proper divisors (1256588626).

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

871872800 is a wasteful number, since it uses less digits than its factorization.

871872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089861 (or 1089848 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 41.

The square root of 871872800 is about 29527.4922741502. The cubic root of 871872800 is about 955.3247801173.

It can be divided in two parts, 8718 and 72800, that added together give a palindrome (81518).

The spelling of 871872800 in words is "eight hundred seventy-one million, eight hundred seventy-two thousand, eight hundred".