78075180 has 144 divisors (see below), whose sum is σ = 256445280. Its totient is φ = 19160064.

The previous prime is 78075119. The next prime is 78075187. The reversal of 78075180 is 8157087.

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

It is not an unprimeable number, because it can be changed into a prime (78075187) 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 47 ways as a sum of consecutive naturals, for example, 126232 + ... + 126848.

It is an arithmetic number, because the mean of its divisors is an integer number (1780870).

Almost surely, 2^78075180 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 78075180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128222640).

78075180 is an abundant number, since it is smaller than the sum of its proper divisors (178370100).

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

78075180 is a wasteful number, since it uses less digits than its factorization.

78075180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 78075180 is about 8836.0160706056. The cubic root of 78075180 is about 427.4030969447.

The spelling of 78075180 in words is "seventy-eight million, seventy-five thousand, one hundred eighty".