873191680 has 72 divisors (see below), whose sum is σ = 2110425912. Its totient is φ = 346128384.

The previous prime is 873191677. The next prime is 873191699. The reversal of 873191680 is 86191378.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 848906496 = 4928^2 + 29136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141622 + ... + 147658.

It is an arithmetic number, because the mean of its divisors is an integer number (29311471).

Almost surely, 2^873191680 is an apocalyptic number.

873191680 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 873191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055212956).

873191680 is an abundant number, since it is smaller than the sum of its proper divisors (1237234232).

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

873191680 is a wasteful number, since it uses less digits than its factorization.

873191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 873191680 is about 29549.8169199066. The cubic root of 873191680 is about 955.8062433029.

The spelling of 873191680 in words is "eight hundred seventy-three million, one hundred ninety-one thousand, six hundred eighty".