871072480 has 96 divisors (see below), whose sum is σ = 2188438560. Its totient is φ = 326707200.

The previous prime is 871072451. The next prime is 871072481. The reversal of 871072480 is 84270178.

871072480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871072481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305622 + ... + 308458.

It is an arithmetic number, because the mean of its divisors is an integer number (22796235).

Almost surely, 2^871072480 is an apocalyptic number.

871072480 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 871072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094219280).

871072480 is an abundant number, since it is smaller than the sum of its proper divisors (1317366080).

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

871072480 is a wasteful number, since it uses less digits than its factorization.

871072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 871072480 is about 29513.9370467581. The cubic root of 871072480 is about 955.0323828826.

The spelling of 871072480 in words is "eight hundred seventy-one million, seventy-two thousand, four hundred eighty".