78942528 has 126 divisors (see below), whose sum is σ = 263311386. Its totient is φ = 22546944.

The previous prime is 78942527. The next prime is 78942541. The reversal of 78942528 is 82524987.

78942528 is a `hidden beast` number, since 7 + 89 + 42 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 5531904 = 8568^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78942527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26826 + ... + 29622.

Almost surely, 2^78942528 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 78942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131655693).

78942528 is an abundant number, since it is smaller than the sum of its proper divisors (184368858).

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

78942528 is a wasteful number, since it uses less digits than its factorization.

78942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2809 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78942528 is about 8884.9607765032. The cubic root of 78942528 is about 428.9799654849.

The spelling of 78942528 in words is "seventy-eight million, nine hundred forty-two thousand, five hundred twenty-eight".