845406720 has 320 divisors, whose sum is σ = 3060161280. Its totient is φ = 223948800.

The previous prime is 845406707. The next prime is 845406761. The reversal of 845406720 is 27604548.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×845406720³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5598645 + ... + 5598795.

It is an arithmetic number, because the mean of its divisors is an integer number (9563004).

Almost surely, 2^845406720 is an apocalyptic number.

845406720 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 845406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530080640).

845406720 is an abundant number, since it is smaller than the sum of its proper divisors (2214754560).

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

845406720 is an frugal number, since it uses more digits than its factorization.

845406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 845406720 is about 29075.8786625615. The cubic root of 845406720 is about 945.5588531143.

The spelling of 845406720 in words is "eight hundred forty-five million, four hundred six thousand, seven hundred twenty".