78201585 has 64 divisors (see below), whose sum is σ = 173352960. Its totient is φ = 32495040.

The previous prime is 78201583. The next prime is 78201619. The reversal of 78201585 is 58510287.

78201585 is a `hidden beast` number, since 78 + 2 + 0 + 1 + 585 = 666.

It is not a de Polignac number, because 78201585 - 2¹ = 78201583 is a prime.

It is a super-2 number, since 2×78201585² = 12230975793024450, which contains 22 as substring.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (78201583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6634 + ... + 14156.

It is an arithmetic number, because the mean of its divisors is an integer number (2708640).

Almost surely, 2^78201585 is an apocalyptic number.

It is an amenable number.

78201585 is an abundant number, since it is smaller than the sum of its proper divisors (95151375).

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

78201585 is a wasteful number, since it uses less digits than its factorization.

78201585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 78201585 is about 8843.1660054530. The cubic root of 78201585 is about 427.6336301239.

The spelling of 78201585 in words is "seventy-eight million, two hundred one thousand, five hundred eighty-five".