873416320 has 256 divisors, whose sum is σ = 2600755200. Its totient is φ = 273715200.

The previous prime is 873416303. The next prime is 873416321. The reversal of 873416320 is 23614378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (873416321) 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 31 ways as a sum of consecutive naturals, for example, 2638555 + ... + 2638885.

It is an arithmetic number, because the mean of its divisors is an integer number (10159200).

Almost surely, 2^873416320 is an apocalyptic number.

873416320 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 873416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300377600).

873416320 is an abundant number, since it is smaller than the sum of its proper divisors (1727338880).

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

873416320 is a wasteful number, since it uses less digits than its factorization.

873416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 873416320 is about 29553.6177142495. The cubic root of 873416320 is about 955.8882008347. Note that the first 3 decimals are identical.

The spelling of 873416320 in words is "eight hundred seventy-three million, four hundred sixteen thousand, three hundred twenty".