844880852400 has 240 divisors, whose sum is σ = 2921408017920. Its totient is φ = 207486489600.

The previous prime is 844880852393. The next prime is 844880852437. The reversal of 844880852400 is 4258088448.

844880852400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×844880852400⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6660771 + ... + 6786429.

It is an arithmetic number, because the mean of its divisors is an integer number (12172533408).

Almost surely, 2^844880852400 is an apocalyptic number.

844880852400 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 844880852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460704008960).

844880852400 is an abundant number, since it is smaller than the sum of its proper divisors (2076527165520).

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

844880852400 is a wasteful number, since it uses less digits than its factorization.

844880852400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126124 (or 126113 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 51.

The spelling of 844880852400 in words is "eight hundred forty-four billion, eight hundred eighty million, eight hundred fifty-two thousand, four hundred".