872874187680 has 768 divisors, whose sum is σ = 3284992972800. Its totient is φ = 192447037440.

The previous prime is 872874187673. The next prime is 872874187721. The reversal of 872874187680 is 86781478278.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573127399 + ... + 573128921.

It is an arithmetic number, because the mean of its divisors is an integer number (4277334600).

Almost surely, 2^872874187680 is an apocalyptic number.

872874187680 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 872874187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642496486400).

872874187680 is an abundant number, since it is smaller than the sum of its proper divisors (2412118785120).

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

872874187680 is a wasteful number, since it uses less digits than its factorization.

872874187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 66.

The spelling of 872874187680 in words is "eight hundred seventy-two billion, eight hundred seventy-four million, one hundred eighty-seven thousand, six hundred eighty".