846720000 has 660 divisors, whose sum is σ = 3645051960. Its totient is φ = 193536000.

The previous prime is 846719977. The next prime is 846720011. The reversal of 846720000 is 27648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120959997 + ... + 120960003.

It is an arithmetic number, because the mean of its divisors is an integer number (5522806).

Almost surely, 2^846720000 is an apocalyptic number.

846720000 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 846720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822525980).

846720000 is an abundant number, since it is smaller than the sum of its proper divisors (2798331960).

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

846720000 is an equidigital number, since it uses as much as digits as its factorization.

846720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

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

The square root of 846720000 is about 29098.4535671571. The cubic root of 846720000 is about 946.0482195726.

Multiplying 846720000 by its sum of digits (27), we get a square (22861440000 = 151200²).

846720000 divided by its sum of digits (27) gives a square (31360000 = 5600²).

Adding to 846720000 its reverse (27648), we get a palindrome (846747648).

Multiplying 846720000 by its reverse (27648), we get a square (23410114560000 = 4838400²).

846720000 divided by its reverse (27648) gives a square (30625 = 175²).

The spelling of 846720000 in words is "eight hundred forty-six million, seven hundred twenty thousand".