873385200 has 480 divisors, whose sum is σ = 3387640320. Its totient is φ = 212889600.

The previous prime is 873385193. The next prime is 873385231. The reversal of 873385200 is 2583378.

873385200 is a `hidden beast` number, since 8 + 73 + 385 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12301165 + ... + 12301235.

It is an arithmetic number, because the mean of its divisors is an integer number (7057584).

Almost surely, 2^873385200 is an apocalyptic number.

873385200 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 873385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693820160).

873385200 is an abundant number, since it is smaller than the sum of its proper divisors (2514255120).

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

873385200 is a wasteful number, since it uses less digits than its factorization.

873385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 873385200 is about 29553.0912088736. The cubic root of 873385200 is about 955.8768478699.

The spelling of 873385200 in words is "eight hundred seventy-three million, three hundred eighty-five thousand, two hundred".