871278720 has 256 divisors, whose sum is σ = 3041297280. Its totient is φ = 210862080.

The previous prime is 871278719. The next prime is 871278721. The reversal of 871278720 is 27872178.

It is an interprime number because it is at equal distance from previous prime (871278719) and next prime (871278721).

It is not an unprimeable number, because it can be changed into a prime (871278721) 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, 1672060 + ... + 1672580.

Almost surely, 2^871278720 is an apocalyptic number.

871278720 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 871278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520648640).

871278720 is an abundant number, since it is smaller than the sum of its proper divisors (2170018560).

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

871278720 is a wasteful number, since it uses less digits than its factorization.

871278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 871278720 is about 29517.4307825054. The cubic root of 871278720 is about 955.1077498738.

The spelling of 871278720 in words is "eight hundred seventy-one million, two hundred seventy-eight thousand, seven hundred twenty".