845976768 has 168 divisors, whose sum is σ = 2804446512. Its totient is φ = 223082496.

The previous prime is 845976737. The next prime is 845976799. The reversal of 845976768 is 867679548.

It is an interprime number because it is at equal distance from previous prime (845976737) and next prime (845976799).

It is a tau number, because it is divible by the number of its divisors (168).

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, 118846 + ... + 125762.

It is an arithmetic number, because the mean of its divisors is an integer number (16693134).

Almost surely, 2^845976768 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 845976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402223256).

845976768 is an abundant number, since it is smaller than the sum of its proper divisors (1958469744).

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

845976768 is a wasteful number, since it uses less digits than its factorization.

845976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959 (or 6942 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The square root of 845976768 is about 29085.6797754496. The cubic root of 845976768 is about 945.7713318402.

The spelling of 845976768 in words is "eight hundred forty-five million, nine hundred seventy-six thousand, seven hundred sixty-eight".