78608320 has 112 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 25519104.

The previous prime is 78608311. The next prime is 78608351. The reversal of 78608320 is 2380687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41637 + ... + 43483.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^78608320 is an apocalyptic number.

78608320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

78608320 is an abundant number, since it is smaller than the sum of its proper divisors (146699840).

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

78608320 is a wasteful number, since it uses less digits than its factorization.

78608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 78608320 is about 8866.1333172923. The cubic root of 78608320 is about 428.3737382419.

The spelling of 78608320 in words is "seventy-eight million, six hundred eight thousand, three hundred twenty".