845779968 has 308 divisors, whose sum is σ = 2792239008. Its totient is φ = 253808640.

The previous prime is 845779967. The next prime is 845779997. The reversal of 845779968 is 869977548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845779967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8211405 + ... + 8211507.

Almost surely, 2^845779968 is an apocalyptic number.

845779968 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 845779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396119504).

845779968 is an abundant number, since it is smaller than the sum of its proper divisors (1946459040).

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

845779968 is a wasteful number, since it uses less digits than its factorization.

845779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 845779968 is about 29082.2964705334. The cubic root of 845779968 is about 945.6979877328.

The spelling of 845779968 in words is "eight hundred forty-five million, seven hundred seventy-nine thousand, nine hundred sixty-eight".