78424320 has 144 divisors (see below), whose sum is σ = 269906112. Its totient is φ = 19292160.

The previous prime is 78424279. The next prime is 78424351. The reversal of 78424320 is 2342487.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49135 + ... + 50705.

It is an arithmetic number, because the mean of its divisors is an integer number (1874348).

Almost surely, 2^78424320 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 78424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134953056).

78424320 is an abundant number, since it is smaller than the sum of its proper divisors (191481792).

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

78424320 is a wasteful number, since it uses less digits than its factorization.

78424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 78424320 is about 8855.7506739971. The cubic root of 78424320 is about 428.0392429153.

The spelling of 78424320 in words is "seventy-eight million, four hundred twenty-four thousand, three hundred twenty".