840106800 has 360 divisors, whose sum is σ = 3253177200. Its totient is φ = 199342080.

The previous prime is 840106747. The next prime is 840106801. The reversal of 840106800 is 8601048.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (840106801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356891 + ... + 1357509.

Almost surely, 2^840106800 is an apocalyptic number.

840106800 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 840106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626588600).

840106800 is an abundant number, since it is smaller than the sum of its proper divisors (2413070400).

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

840106800 is a wasteful number, since it uses less digits than its factorization.

840106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 840106800 is about 28984.5959088617. The cubic root of 840106800 is about 943.5787824415.

Adding to 840106800 its reverse (8601048), we get a palindrome (848707848).

The spelling of 840106800 in words is "eight hundred forty million, one hundred six thousand, eight hundred".