871980480 has 504 divisors, whose sum is σ = 3604674528. Its totient is φ = 192761856.

The previous prime is 871980479. The next prime is 871980491. The reversal of 871980480 is 84089178.

871980480 is a `hidden beast` number, since 87 + 1 + 98 + 0 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 5221357 + ... + 5221523.

It is an arithmetic number, because the mean of its divisors is an integer number (7152132).

Almost surely, 2^871980480 is an apocalyptic number.

871980480 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 871980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802337264).

871980480 is an abundant number, since it is smaller than the sum of its proper divisors (2732694048).

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

871980480 is a wasteful number, since it uses less digits than its factorization.

871980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 871980480 is about 29529.3156033119. The cubic root of 871980480 is about 955.3641073898.

The spelling of 871980480 in words is "eight hundred seventy-one million, nine hundred eighty thousand, four hundred eighty".