845200000800 has 216 divisors, whose sum is σ = 2981832939540. Its totient is φ = 225277286400.

The previous prime is 845200000769. The next prime is 845200000861. The reversal of 845200000800 is 8000002548.

It can be written as a sum of positive squares in 6 ways, for example, as 399034782864 + 446165217936 = 631692^2 + 667956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15387786 + ... + 15442614.

Almost surely, 2^845200000800 is an apocalyptic number.

845200000800 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 845200000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490916469770).

845200000800 is an abundant number, since it is smaller than the sum of its proper divisors (2136632938740).

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

845200000800 is a wasteful number, since it uses less digits than its factorization.

845200000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56996 (or 56980 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 845200000800 in words is "eight hundred forty-five billion, two hundred million, eight hundred", and thus it is an aban number.