871740480 has 224 divisors, whose sum is σ = 3111300864. Its totient is φ = 205185024.

The previous prime is 871740473. The next prime is 871740487. The reversal of 871740480 is 84047178.

871740480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (871740473) and next prime (871740487).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (871740487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285522 + ... + 288558.

It is an arithmetic number, because the mean of its divisors is an integer number (13889736).

Almost surely, 2^871740480 is an apocalyptic number.

871740480 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 871740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555650432).

871740480 is an abundant number, since it is smaller than the sum of its proper divisors (2239560384).

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

871740480 is a wasteful number, since it uses less digits than its factorization.

871740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 871740480 is about 29525.2515653974. The cubic root of 871740480 is about 955.2764493018.

The spelling of 871740480 in words is "eight hundred seventy-one million, seven hundred forty thousand, four hundred eighty".