845355200 has 84 divisors (see below), whose sum is σ = 2088090312. Its totient is φ = 336844800.

The previous prime is 845355139. The next prime is 845355227. The reversal of 845355200 is 2553548.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 490340 + ... + 492060.

It is an arithmetic number, because the mean of its divisors is an integer number (24858218).

Almost surely, 2^845355200 is an apocalyptic number.

845355200 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 845355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044045156).

845355200 is an abundant number, since it is smaller than the sum of its proper divisors (1242735112).

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

845355200 is a wasteful number, since it uses less digits than its factorization.

845355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 845355200 is about 29074.9926913146. The cubic root of 845355200 is about 945.5396449310.

The spelling of 845355200 in words is "eight hundred forty-five million, three hundred fifty-five thousand, two hundred".