845815680 has 96 divisors (see below), whose sum is σ = 2920727160. Its totient is φ = 225549312.

The previous prime is 845815673. The next prime is 845815697. The reversal of 845815680 is 86518548.

845815680 is a `hidden beast` number, since 8 + 4 + 5 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67662 + ... + 79181.

Almost surely, 2^845815680 is an apocalyptic number.

845815680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845815680 is an abundant number, since it is smaller than the sum of its proper divisors (2074911480).

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

845815680 is a wasteful number, since it uses less digits than its factorization.

845815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146868 (or 146853 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 845815680 is about 29082.9104458271. The cubic root of 845815680 is about 945.7112978499.

The spelling of 845815680 in words is "eight hundred forty-five million, eight hundred fifteen thousand, six hundred eighty".