78188814 has 160 divisors (see below), whose sum is σ = 211701600. Its totient is φ = 21288960.

The previous prime is 78188813. The next prime is 78188867. The reversal of 78188814 is 41888187.

It is a super-2 number, since 2×78188814² = 12226981269453192, 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 78188814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78188813) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 878482 + ... + 878570.

It is an arithmetic number, because the mean of its divisors is an integer number (1323135).

It is a vampire number, since it can be written as 8811 ⋅ 8874 (with its own digits).

Almost surely, 2^78188814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78188814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850800).

78188814 is an abundant number, since it is smaller than the sum of its proper divisors (133512786).

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

78188814 is a wasteful number, since it uses less digits than its factorization.

78188814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 78188814 is about 8842.4438929518. The cubic root of 78188814 is about 427.6103500910.

The spelling of 78188814 in words is "seventy-eight million, one hundred eighty-eight thousand, eight hundred fourteen".