78008085 has 24 divisors (see below), whose sum is σ = 135793944. Its totient is φ = 41425920.

The previous prime is 78008083. The next prime is 78008107. The reversal of 78008085 is 58080087.

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 75325041 = 1638^2 + 8679^2 .

It is not a de Polignac number, because 78008085 - 2¹ = 78008083 is a prime.

It is a super-2 number, since 2×78008085² = 12170522650734450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78008083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7249 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (5658081).

Almost surely, 2^78008085 is an apocalyptic number.

It is an amenable number.

78008085 is a deficient number, since it is larger than the sum of its proper divisors (57785859).

78008085 is a wasteful number, since it uses less digits than its factorization.

78008085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 78008085 is about 8832.2185774583. The cubic root of 78008085 is about 427.2806302433.

The spelling of 78008085 in words is "seventy-eight million, eight thousand, eighty-five".