78325128 has 108 divisors (see below), whose sum is σ = 248431365. Its totient is φ = 22228416.

The previous prime is 78325109. The next prime is 78325153. The reversal of 78325128 is 82152387.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 13972644 = 8022^2 + 3738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6258.

It is a super-2 number, since 2×78325128² = 12269651352432768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78325092 and 78325101.

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 26 ways as a sum of consecutive naturals, for example, 525598 + ... + 525746.

Almost surely, 2^78325128 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 78325128

78325128 is an abundant number, since it is smaller than the sum of its proper divisors (170106237).

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

78325128 is a wasteful number, since it uses less digits than its factorization.

78325128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 161 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 78325128 is about 8850.1484733308. The cubic root of 78325128 is about 427.8587037591.

The spelling of 78325128 in words is "seventy-eight million, three hundred twenty-five thousand, one hundred twenty-eight".