849868800 has 288 divisors, whose sum is σ = 3071053440. Its totient is φ = 205619200.

The previous prime is 849868783. The next prime is 849868801. The reversal of 849868800 is 8868948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849868801) 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 23 ways as a sum of consecutive naturals, for example, 1689349 + ... + 1689851.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^849868800 is an apocalyptic number.

849868800 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 849868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

849868800 is an abundant number, since it is smaller than the sum of its proper divisors (2221184640).

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

849868800 is a wasteful number, since it uses less digits than its factorization.

849868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 849868800 is about 29152.5093259568. The cubic root of 849868800 is about 947.2194967986.

The spelling of 849868800 in words is "eight hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred".