845088768 has 384 divisors, whose sum is σ = 2830464000. Its totient is φ = 247726080.

The previous prime is 845088757. The next prime is 845088779. The reversal of 845088768 is 867880548.

It is an interprime number because it is at equal distance from previous prime (845088757) and next prime (845088779).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27260913 + ... + 27260943.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^845088768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

845088768 is an abundant number, since it is smaller than the sum of its proper divisors (1985375232).

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

845088768 is a wasteful number, since it uses less digits than its factorization.

845088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 845088768 is about 29070.4105234171. The cubic root of 845088768 is about 945.4402987274.

The spelling of 845088768 in words is "eight hundred forty-five million, eighty-eight thousand, seven hundred sixty-eight".