845768 has 32 divisors (see below), whose sum is σ = 1978560. Its totient is φ = 329280.

The previous prime is 845753. The next prime is 845771. The reversal of 845768 is 867548.

It is an unprimeable number.

845768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 71 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (61830).

2⁸⁴⁵⁷⁶⁸ is an apocalyptic number.

845768 is a gapful number since it is divisible by the number (88) 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 845768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989280).

845768 is an abundant number, since it is smaller than the sum of its proper divisors (1132792).

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

845768 is a wasteful number, since it uses less digits than its factorization.

845768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 845768 is about 919.6564575971. The cubic root of 845768 is about 94.5693527090.

The spelling of 845768 in words is "eight hundred forty-five thousand, seven hundred sixty-eight".