851671680 has 256 divisors, whose sum is σ = 2878848000. Its totient is φ = 213811200.

The previous prime is 851671673. The next prime is 851671697. The reversal of 851671680 is 86176158.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440146 + ... + 2440494.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^851671680 is an apocalyptic number.

851671680 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 851671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424000).

851671680 is an abundant number, since it is smaller than the sum of its proper divisors (2027176320).

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

851671680 is a wasteful number, since it uses less digits than its factorization.

851671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 851671680 is about 29183.4144678103. The cubic root of 851671680 is about 947.8888224407. Note that the first 4 decimals are identical.

The spelling of 851671680 in words is "eight hundred fifty-one million, six hundred seventy-one thousand, six hundred eighty".