842711200 has 72 divisors (see below), whose sum is σ = 2062368000. Its totient is φ = 336249600.

The previous prime is 842711189. The next prime is 842711209. The reversal of 842711200 is 2117248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (842711209) by changing a digit.

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, 398145 + ... + 400255.

It is an arithmetic number, because the mean of its divisors is an integer number (28644000).

Almost surely, 2^842711200 is an apocalyptic number.

842711200 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 842711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184000).

842711200 is an abundant number, since it is smaller than the sum of its proper divisors (1219656800).

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

842711200 is a wasteful number, since it uses less digits than its factorization.

842711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 842711200 is about 29029.4884557066. The cubic root of 842711200 is about 944.5528337988.

Adding to 842711200 its reverse (2117248), we get a palindrome (844828448).

The spelling of 842711200 in words is "eight hundred forty-two million, seven hundred eleven thousand, two hundred".