873979200 has 168 divisors, whose sum is σ = 3186135360. Its totient is φ = 233049600.

The previous prime is 873979193. The next prime is 873979237. The reversal of 873979200 is 2979378.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33085 + ... + 53315.

Almost surely, 2^873979200 is an apocalyptic number.

873979200 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 873979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593067680).

873979200 is an abundant number, since it is smaller than the sum of its proper divisors (2312156160).

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

873979200 is a wasteful number, since it uses less digits than its factorization.

873979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 873979200 is about 29563.1392108484. The cubic root of 873979200 is about 956.0934999557.

The spelling of 873979200 in words is "eight hundred seventy-three million, nine hundred seventy-nine thousand, two hundred".