842371200 has 288 divisors, whose sum is σ = 3280258800. Its totient is φ = 204134400.

The previous prime is 842371181. The next prime is 842371217. The reversal of 842371200 is 2173248.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315471 + ... + 318129.

Almost surely, 2^842371200 is an apocalyptic number.

842371200 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 842371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640129400).

842371200 is an abundant number, since it is smaller than the sum of its proper divisors (2437887600).

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

842371200 is a wasteful number, since it uses less digits than its factorization.

842371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 842371200 is about 29023.6317506958. The cubic root of 842371200 is about 944.4257870465.

The spelling of 842371200 in words is "eight hundred forty-two million, three hundred seventy-one thousand, two hundred".