845280720 has 120 divisors (see below), whose sum is σ = 2930383872. Its totient is φ = 218131200.

The previous prime is 845280701. The next prime is 845280757. The reversal of 845280720 is 27082548.

It is a happy number.

845280720 is digitally balanced in base 2, because in such base 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3385 + ... + 41255.

Almost surely, 2^845280720 is an apocalyptic number.

845280720 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 845280720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465191936).

845280720 is an abundant number, since it is smaller than the sum of its proper divisors (2085103152).

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

845280720 is a wasteful number, since it uses less digits than its factorization.

845280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37921 (or 37912 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 845280720 is about 29073.7118373282. The cubic root of 845280720 is about 945.5118751994.

It can be divided in two parts, 84 and 5280720, that added together give a square (5280804 = 2298²).

The spelling of 845280720 in words is "eight hundred forty-five million, two hundred eighty thousand, seven hundred twenty".