845761280 has 288 divisors, whose sum is σ = 2558957184. Its totient is φ = 260702208.

The previous prime is 845761247. The next prime is 845761289. The reversal of 845761280 is 82167548.

It is not an unprimeable number, because it can be changed into a prime (845761289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6173372 + ... + 6173508.

It is an arithmetic number, because the mean of its divisors is an integer number (8885268).

Almost surely, 2^845761280 is an apocalyptic number.

845761280 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 845761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279478592).

845761280 is an abundant number, since it is smaller than the sum of its proper divisors (1713195904).

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

845761280 is a wasteful number, since it uses less digits than its factorization.

845761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 845761280 is about 29081.9751736363. The cubic root of 845761280 is about 945.6910224326.

The spelling of 845761280 in words is "eight hundred forty-five million, seven hundred sixty-one thousand, two hundred eighty".