78165180 has 72 divisors (see below), whose sum is σ = 238270032. Its totient is φ = 20741376.

The previous prime is 78165173. The next prime is 78165187. The reversal of 78165180 is 8156187.

It is an interprime number because it is at equal distance from previous prime (78165173) and next prime (78165187).

It is a super-2 number, since 2×78165180² = 12219590728864800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78165187) 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, 39904 + ... + 41816.

It is an arithmetic number, because the mean of its divisors is an integer number (3309306).

Almost surely, 2^78165180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78165180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119135016).

78165180 is an abundant number, since it is smaller than the sum of its proper divisors (160104852).

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

78165180 is a wasteful number, since it uses less digits than its factorization.

78165180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2150 counting only the distinct ones).

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

The square root of 78165180 is about 8841.1073967009. The cubic root of 78165180 is about 427.5672613979.

It can be divided in two parts, 7816 and 5180, that added together give a square (12996 = 114²).

The spelling of 78165180 in words is "seventy-eight million, one hundred sixty-five thousand, one hundred eighty".