842938200 has 432 divisors, whose sum is σ = 3265605720. Its totient is φ = 194088960.

The previous prime is 842938169. The next prime is 842938207. The reversal of 842938200 is 2839248.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842938207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5171319 + ... + 5171481.

Almost surely, 2^842938200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632802860).

842938200 is an abundant number, since it is smaller than the sum of its proper divisors (2422667520).

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

842938200 is a wasteful number, since it uses less digits than its factorization.

842938200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 842938200 is about 29033.3980098782. The cubic root of 842938200 is about 944.6376371668.

The spelling of 842938200 in words is "eight hundred forty-two million, nine hundred thirty-eight thousand, two hundred".