845719680 has 256 divisors, whose sum is σ = 2999485440. Its totient is φ = 201277440.

The previous prime is 845719639. The next prime is 845719681. The reversal of 845719680 is 86917548.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (845719681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773214 + ... + 774306.

It is an arithmetic number, because the mean of its divisors is an integer number (11716740).

Almost surely, 2^845719680 is an apocalyptic number.

845719680 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 845719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499742720).

845719680 is an abundant number, since it is smaller than the sum of its proper divisors (2153765760).

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

845719680 is a wasteful number, since it uses less digits than its factorization.

845719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 845719680 is about 29081.2599451949. The cubic root of 845719680 is about 945.6755171150.

The spelling of 845719680 in words is "eight hundred forty-five million, seven hundred nineteen thousand, six hundred eighty".