78186060 has 180 divisors, whose sum is σ = 262109232. Its totient is φ = 19505664.

The previous prime is 78186049. The next prime is 78186067. The reversal of 78186060 is 6068187.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×78186060² = 12226119956647200, which contains 22 as substring.

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 (78186067) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468097 + ... + 468263.

Almost surely, 2^78186060 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 78186060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131054616).

78186060 is an abundant number, since it is smaller than the sum of its proper divisors (183923172).

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

78186060 is a wasteful number, since it uses less digits than its factorization.

78186060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78186060 is about 8842.2881654015. The cubic root of 78186060 is about 427.6053295403.

The spelling of 78186060 in words is "seventy-eight million, one hundred eighty-six thousand, sixty".