845009280 has 256 divisors, whose sum is σ = 3035520000. Its totient is φ = 222124032.

The previous prime is 845009273. The next prime is 845009299. The reversal of 845009280 is 82900548.

It is a super-2 number, since 2×845009280² = 1428081366572236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364811 + ... + 1365429.

It is an arithmetic number, because the mean of its divisors is an integer number (11857500).

Almost surely, 2^845009280 is an apocalyptic number.

845009280 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 845009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760000).

845009280 is an abundant number, since it is smaller than the sum of its proper divisors (2190510720).

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

845009280 is a wasteful number, since it uses less digits than its factorization.

845009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 845009280 is about 29069.0433279116. The cubic root of 845009280 is about 945.4106554845.

The spelling of 845009280 in words is "eight hundred forty-five million, nine thousand, two hundred eighty".