845056800 has 648 divisors, whose sum is σ = 3690138816. Its totient is φ = 184757760.

The previous prime is 845056783. The next prime is 845056811. The reversal of 845056800 is 8650548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36741589 + ... + 36741611.

Almost surely, 2^845056800 is an apocalyptic number.

845056800 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 845056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845069408).

845056800 is an abundant number, since it is smaller than the sum of its proper divisors (2845082016).

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

845056800 is an equidigital number, since it uses as much as digits as its factorization.

845056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 845056800 is about 29069.8606807807. The cubic root of 845056800 is about 945.4283772119.

The spelling of 845056800 in words is "eight hundred forty-five million, fifty-six thousand, eight hundred".