78613200 has 240 divisors, whose sum is σ = 290606400. Its totient is φ = 20160000.

The previous prime is 78613163. The next prime is 78613207. The reversal of 78613200 is 231687.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78613207) 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 47 ways as a sum of consecutive naturals, for example, 313075 + ... + 313325.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^78613200 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 78613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

78613200 is an abundant number, since it is smaller than the sum of its proper divisors (211993200).

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

78613200 is a wasteful number, since it uses less digits than its factorization.

78613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78613200 is about 8866.4085175453. The cubic root of 78613200 is about 428.3826025309.

Adding to 78613200 its reverse (231687), we get a palindrome (78844887).

It can be divided in two parts, 78 and 613200, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 78613200 in words is "seventy-eight million, six hundred thirteen thousand, two hundred".