871303680 has 240 divisors, whose sum is σ = 3250807560. Its totient is φ = 214401024.

The previous prime is 871303651. The next prime is 871303709. The reversal of 871303680 is 86303178.

It is an interprime number because it is at equal distance from previous prime (871303651) and next prime (871303709).

It can be written as a sum of positive squares in 4 ways, for example, as 704583936 + 166719744 = 26544^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 298066 + ... + 300974.

Almost surely, 2^871303680 is an apocalyptic number.

871303680 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 871303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625403780).

871303680 is an abundant number, since it is smaller than the sum of its proper divisors (2379503880).

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

871303680 is a wasteful number, since it uses less digits than its factorization.

871303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 871303680 is about 29517.8535805028. The cubic root of 871303680 is about 955.1168702855.

The spelling of 871303680 in words is "eight hundred seventy-one million, three hundred three thousand, six hundred eighty".