78027300 has 324 divisors, whose sum is σ = 289096080. Its totient is φ = 18195840.

The previous prime is 78027283. The next prime is 78027311. The reversal of 78027300 is 372087.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4106691 + ... + 4106709.

Almost surely, 2^78027300 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 78027300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548040).

78027300 is an abundant number, since it is smaller than the sum of its proper divisors (211068780).

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

78027300 is a wasteful number, since it uses less digits than its factorization.

78027300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 78027300 is about 8833.3062892668. The cubic root of 78027300 is about 427.3157100400.

Adding to 78027300 its reverse (372087), we get a palindrome (78399387).

The spelling of 78027300 in words is "seventy-eight million, twenty-seven thousand, three hundred".