78147342 has 224 divisors, whose sum is σ = 235038720. Its totient is φ = 18895680.

The previous prime is 78147341. The next prime is 78147359. The reversal of 78147342 is 24374187.

It is a happy number.

It is a super-3 number, since 3×78147342³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 78147297 and 78147306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78147341) 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 111 ways as a sum of consecutive naturals, for example, 2520867 + ... + 2520897.

It is an arithmetic number, because the mean of its divisors is an integer number (1049280).

Almost surely, 2^78147342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78147342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117519360).

78147342 is an abundant number, since it is smaller than the sum of its proper divisors (156891378).

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

78147342 is a wasteful number, since it uses less digits than its factorization.

78147342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 78147342 is about 8840.0985288627. The cubic root of 78147342 is about 427.5347340199.

The spelling of 78147342 in words is "seventy-eight million, one hundred forty-seven thousand, three hundred forty-two".