78500928 has 168 divisors, whose sum is σ = 237825280. Its totient is φ = 22809600.

The previous prime is 78500927. The next prime is 78500977. The reversal of 78500928 is 82900587.

It is a super-2 number, since 2×78500928² = 12324791393722368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78500921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 720138 + ... + 720246.

Almost surely, 2^78500928 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 78500928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118912640).

78500928 is an abundant number, since it is smaller than the sum of its proper divisors (159324352).

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

78500928 is a wasteful number, since it uses less digits than its factorization.

78500928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 78500928 is about 8860.0749432496. The cubic root of 78500928 is about 428.1785728189.

The spelling of 78500928 in words is "seventy-eight million, five hundred thousand, nine hundred twenty-eight".