847880320 has 192 divisors, whose sum is σ = 2483740800. Its totient is φ = 275208192.

The previous prime is 847880311. The next prime is 847880347. The reversal of 847880320 is 23088748.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595129 + ... + 596551.

It is an arithmetic number, because the mean of its divisors is an integer number (12936150).

Almost surely, 2^847880320 is an apocalyptic number.

847880320 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 847880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241870400).

847880320 is an abundant number, since it is smaller than the sum of its proper divisors (1635860480).

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

847880320 is a wasteful number, since it uses less digits than its factorization.

847880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 847880320 is about 29118.3845705767. The cubic root of 847880320 is about 946.4801678060.

The spelling of 847880320 in words is "eight hundred forty-seven million, eight hundred eighty thousand, three hundred twenty".