846000000 has 336 divisors, whose sum is σ = 3107772720. Its totient is φ = 220800000.

The previous prime is 845999971. The next prime is 846000041. The reversal of 846000000 is 648.

846000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17999977 + ... + 18000023.

Almost surely, 2^846000000 is an apocalyptic number.

846000000 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 846000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553886360).

846000000 is an abundant number, since it is smaller than the sum of its proper divisors (2261772720).

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

846000000 is an frugal number, since it uses more digits than its factorization.

846000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 846000000 is about 29086.0791444980. The cubic root of 846000000 is about 945.7799892720.

Adding to 846000000 its reverse (648), we get a palindrome (846000648).

The spelling of 846000000 in words is "eight hundred forty-six million", and thus it is an aban number.