78728320 has 128 divisors (see below), whose sum is σ = 210185280. Its totient is φ = 27955200.

The previous prime is 78728297. The next prime is 78728329. The reversal of 78728320 is 2382787.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78728320.

It is not an unprimeable number, because it can be changed into a prime (78728329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373015 + ... + 373225.

Almost surely, 2^78728320 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 78728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105092640).

78728320 is an abundant number, since it is smaller than the sum of its proper divisors (131456960).

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

78728320 is a wasteful number, since it uses less digits than its factorization.

78728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 78728320 is about 8872.8980609494. The cubic root of 78728320 is about 428.5916062458.

The spelling of 78728320 in words is "seventy-eight million, seven hundred twenty-eight thousand, three hundred twenty".