851044320 has 576 divisors, whose sum is σ = 3566384640. Its totient is φ = 187619328.

The previous prime is 851044309. The next prime is 851044351. The reversal of 851044320 is 23440158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14424451 + ... + 14424509.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^851044320 is an apocalyptic number.

851044320 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 851044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

851044320 is an abundant number, since it is smaller than the sum of its proper divisors (2715340320).

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

851044320 is a wasteful number, since it uses less digits than its factorization.

851044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 851044320 is about 29172.6639167560. The cubic root of 851044320 is about 947.6560200512.

Adding to 851044320 its reverse (23440158), we get a palindrome (874484478).

The spelling of 851044320 in words is "eight hundred fifty-one million, forty-four thousand, three hundred twenty".