851716320 has 768 divisors, whose sum is σ = 3706601472. Its totient is φ = 159252480.

The previous prime is 851716279. The next prime is 851716403. The reversal of 851716320 is 23617158.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 23019342 + ... + 23019378.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^851716320 is an apocalyptic number.

851716320 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 851716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

851716320 is an abundant number, since it is smaller than the sum of its proper divisors (2854885152).

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

851716320 is a wasteful number, since it uses less digits than its factorization.

851716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 851716320 is about 29184.1792757651. The cubic root of 851716320 is about 947.9053832112.

The spelling of 851716320 in words is "eight hundred fifty-one million, seven hundred sixteen thousand, three hundred twenty".