78315328 has 168 divisors, whose sum is σ = 207961992. Its totient is φ = 28901376.

The previous prime is 78315323. The next prime is 78315389. The reversal of 78315328 is 82351387.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 78287104 = 168^2 + 8848^2 .

It is a super-2 number, since 2×78315328² = 12266581199495168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78315323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693000 + ... + 693112.

It is an arithmetic number, because the mean of its divisors is an integer number (1237869).

Almost surely, 2^78315328 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 78315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980996).

78315328 is an abundant number, since it is smaller than the sum of its proper divisors (129646664).

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

78315328 is a wasteful number, since it uses less digits than its factorization.

78315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 78315328 is about 8849.5947929835. The cubic root of 78315328 is about 427.8408585274.

The spelling of 78315328 in words is "seventy-eight million, three hundred fifteen thousand, three hundred twenty-eight".