78085161 has 96 divisors (see below), whose sum is σ = 152893440. Its totient is φ = 38253600.

The previous prime is 78085159. The next prime is 78085169. The reversal of 78085161 is 16158087.

It is not a de Polignac number, because 78085161 - 2¹ = 78085159 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78085169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099756 + ... + 1099826.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2^78085161 is an apocalyptic number.

78085161 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

78085161 is a deficient number, since it is larger than the sum of its proper divisors (74808279).

78085161 is a wasteful number, since it uses less digits than its factorization.

78085161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 78085161 is about 8836.5808432900. The cubic root of 78085161 is about 427.4213090002.

The spelling of 78085161 in words is "seventy-eight million, eighty-five thousand, one hundred sixty-one".