871902720 has 480 divisors, whose sum is σ = 3378158784. Its totient is φ = 206438400.

The previous prime is 871902677. The next prime is 871902727. The reversal of 871902720 is 27209178.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871902727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12280285 + ... + 12280355.

Almost surely, 2^871902720 is an apocalyptic number.

871902720 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 871902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392).

871902720 is an abundant number, since it is smaller than the sum of its proper divisors (2506256064).

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

871902720 is a wasteful number, since it uses less digits than its factorization.

871902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 871902720 is about 29527.9989162828. The cubic root of 871902720 is about 955.3357079310.

The spelling of 871902720 in words is "eight hundred seventy-one million, nine hundred two thousand, seven hundred twenty".