78945328 has 80 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 30470400.

The previous prime is 78945319. The next prime is 78945343. The reversal of 78945328 is 82354987.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171018 + ... + 171478.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^78945328 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 78945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

78945328 is an abundant number, since it is smaller than the sum of its proper divisors (113542352).

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

78945328 is a wasteful number, since it uses less digits than its factorization.

78945328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 78945328 is about 8885.1183447380. The cubic root of 78945328 is about 428.9850372324.

The spelling of 78945328 in words is "seventy-eight million, nine hundred forty-five thousand, three hundred twenty-eight".