78608000 has 128 divisors (see below), whose sum is σ = 207651600. Its totient is φ = 29593600.

The previous prime is 78607993. The next prime is 78608003. The reversal of 78608000 is 80687.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 4096576 + 74511424 = 2024^2 + 8632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (78608003) 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 15 ways as a sum of consecutive naturals, for example, 4623992 + ... + 4624008.

Almost surely, 2^78608000 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 78608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103825800).

78608000 is an abundant number, since it is smaller than the sum of its proper divisors (129043600).

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

78608000 is an frugal number, since it uses more digits than its factorization.

78608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 78608000 is about 8866.1152710756. The cubic root of 78608000 is about 428.3731569643.

Adding to 78608000 its reverse (80687), we get a palindrome (78688687).

The spelling of 78608000 in words is "seventy-eight million, six hundred eight thousand".