78334600 has 72 divisors (see below), whose sum is σ = 187479630. Its totient is φ = 30438400.

The previous prime is 78334579. The next prime is 78334603. The reversal of 78334600 is 643387.

It can be written as a sum of positive squares in 9 ways, for example, as 16208676 + 62125924 = 4026^2 + 7882^2 .

It is a super-2 number, since 2×78334600² = 12272619114320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78334603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336084 + ... + 336316.

Almost surely, 2^78334600 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 78334600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93739815).

78334600 is an abundant number, since it is smaller than the sum of its proper divisors (109145030).

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

78334600 is a wasteful number, since it uses less digits than its factorization.

78334600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 78334600 is about 8850.6835894184. The cubic root of 78334600 is about 427.8759503073.

Adding to 78334600 its reverse (643387), we get a palindrome (78977987).

The spelling of 78334600 in words is "seventy-eight million, three hundred thirty-four thousand, six hundred".