873845280 has 768 divisors, whose sum is σ = 3971358720. Its totient is φ = 174182400.

The previous prime is 873845257. The next prime is 873845281. The reversal of 873845280 is 82548378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (873845281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12307645 + ... + 12307715.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^873845280 is an apocalyptic number.

873845280 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 873845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

873845280 is an abundant number, since it is smaller than the sum of its proper divisors (3097513440).

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

873845280 is a wasteful number, since it uses less digits than its factorization.

873845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 873845280 is about 29560.8741413376. The cubic root of 873845280 is about 956.0446633312.

The spelling of 873845280 in words is "eight hundred seventy-three million, eight hundred forty-five thousand, two hundred eighty".