871669680 has 240 divisors, whose sum is σ = 3182296320. Its totient is φ = 193342464.

The previous prime is 871669651. The next prime is 871669681. The reversal of 871669680 is 86966178.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (871669681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299731 + ... + 2300109.

It is an arithmetic number, because the mean of its divisors is an integer number (13259568).

Almost surely, 2^871669680 is an apocalyptic number.

871669680 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 871669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591148160).

871669680 is an abundant number, since it is smaller than the sum of its proper divisors (2310626640).

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

871669680 is a wasteful number, since it uses less digits than its factorization.

871669680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 871669680 is about 29524.0525673560. The cubic root of 871669680 is about 955.2505870927.

The spelling of 871669680 in words is "eight hundred seventy-one million, six hundred sixty-nine thousand, six hundred eighty".