853445760 has 128 divisors (see below), whose sum is σ = 2730499200. Its totient is φ = 226738176.

The previous prime is 853445759. The next prime is 853445767. The reversal of 853445760 is 67544358.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (853445767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 646381 + ... + 647699.

It is an arithmetic number, because the mean of its divisors is an integer number (21332025).

Almost surely, 2^853445760 is an apocalyptic number.

853445760 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 853445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365249600).

853445760 is an abundant number, since it is smaller than the sum of its proper divisors (1877053440).

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

853445760 is a wasteful number, since it uses less digits than its factorization.

853445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 853445760 is about 29213.7940021491. The cubic root of 853445760 is about 948.5465345408.

The spelling of 853445760 in words is "eight hundred fifty-three million, four hundred forty-five thousand, seven hundred sixty".