78066585 has 20 divisors (see below), whose sum is σ = 139942308. Its totient is φ = 41635296.

The previous prime is 78066557. The next prime is 78066589. The reversal of 78066585 is 58566087.

78066585 is a `hidden beast` number, since 7 + 8 + 0 + 66 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 16475481 = 7848^2 + 4059^2 .

It is not a de Polignac number, because 78066585 - 2¹⁷ = 77935513 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78066585.

It is not an unprimeable number, because it can be changed into a prime (78066589) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95974 + ... + 96783.

Almost surely, 2^78066585 is an apocalyptic number.

It is an amenable number.

78066585 is a deficient number, since it is larger than the sum of its proper divisors (61875723).

78066585 is a wasteful number, since it uses less digits than its factorization.

78066585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192774 (or 192765 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 78066585 is about 8835.5296954965. The cubic root of 78066585 is about 427.3874126413.

The spelling of 78066585 in words is "seventy-eight million, sixty-six thousand, five hundred eighty-five".