845095680 has 864 divisors, whose sum is σ = 3749840640. Its totient is φ = 179159040.

The previous prime is 845095609. The next prime is 845095703. The reversal of 845095680 is 86590548.

845095680 is a `hidden beast` number, since 84 + 5 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478711 + ... + 44478729.

Almost surely, 2^845095680 is an apocalyptic number.

845095680 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 845095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874920320).

845095680 is an abundant number, since it is smaller than the sum of its proper divisors (2904744960).

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

845095680 is a wasteful number, since it uses less digits than its factorization.

845095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 845095680 is about 29070.5294069441. The cubic root of 845095680 is about 945.4428763129.

The spelling of 845095680 in words is "eight hundred forty-five million, ninety-five thousand, six hundred eighty".