849787200 has 420 divisors, whose sum is σ = 3201253440. Its totient is φ = 221045760.

The previous prime is 849787193. The next prime is 849787201. The reversal of 849787200 is 2787948.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849787201) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10238359 + ... + 10238441.

It is an arithmetic number, because the mean of its divisors is an integer number (7622032).

Almost surely, 2^849787200 is an apocalyptic number.

849787200 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 849787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600626720).

849787200 is an abundant number, since it is smaller than the sum of its proper divisors (2351466240).

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

849787200 is a wasteful number, since it uses less digits than its factorization.

849787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 849787200 is about 29151.1097558909. The cubic root of 849787200 is about 947.1891801251.

The spelling of 849787200 in words is "eight hundred forty-nine million, seven hundred eighty-seven thousand, two hundred".