78936000 has 448 divisors, whose sum is σ = 319527936. Its totient is φ = 16896000.

The previous prime is 78935993. The next prime is 78936001. The reversal of 78936000 is 63987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78936001) 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 63 ways as a sum of consecutive naturals, for example, 3431989 + ... + 3432011.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^78936000 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 78936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

78936000 is an abundant number, since it is smaller than the sum of its proper divisors (240591936).

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

78936000 is a wasteful number, since it uses less digits than its factorization.

78936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 78936000 is about 8884.5934065662. The cubic root of 78936000 is about 428.9681406022.

Adding to 78936000 its reverse (63987), we get a palindrome (78999987).

The spelling of 78936000 in words is "seventy-eight million, nine hundred thirty-six thousand".