845107200 has 468 divisors, whose sum is σ = 3485827488. Its totient is φ = 191692800.

The previous prime is 845107189. The next prime is 845107201. The reversal of 845107200 is 2701548.

845107200 is a `hidden beast` number, since 8 + 451 + 0 + 7 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845107201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6451135 + ... + 6451265.

Almost surely, 2^845107200 is an apocalyptic number.

845107200 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 845107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742913744).

845107200 is an abundant number, since it is smaller than the sum of its proper divisors (2640720288).

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

845107200 is a wasteful number, since it uses less digits than its factorization.

845107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 845107200 is about 29070.7275450753. The cubic root of 845107200 is about 945.4471722574.

Adding to 845107200 its reverse (2701548), we get a palindrome (847808748).

The spelling of 845107200 in words is "eight hundred forty-five million, one hundred seven thousand, two hundred".