78180 has 24 divisors (see below), whose sum is σ = 219072. Its totient is φ = 20832.

The previous prime is 78179. The next prime is 78191. The reversal of 78180 is 8187.

78180 = T₃₅ + T₃₆ + ... + T₇₉.

It is a super-2 number, since 2×78180² = 12224224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (9128).

2⁷⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

78180 is an abundant number, since it is smaller than the sum of its proper divisors (140892).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109536).

78180 is a wasteful number, since it uses less digits than its factorization.

78180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 78180 is about 279.6068668685. The cubic root of 78180 is about 42.7594281726.

It can be divided in two parts, 781 and 80, that added together give a triangular number (861 = T₄₁).

The spelling of 78180 in words is "seventy-eight thousand, one hundred eighty".