78785928 has 96 divisors (see below), whose sum is σ = 235511640. Its totient is φ = 23639040.

The previous prime is 78785909. The next prime is 78785929. The reversal of 78785928 is 82958787.

It can be written as a sum of positive squares in 4 ways, for example, as 33385284 + 45400644 = 5778^2 + 6738^2 .

It is not an unprimeable number, because it can be changed into a prime (78785929) 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, 37350 + ... + 39402.

Almost surely, 2^78785928 is an apocalyptic number.

78785928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78785928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117755820).

78785928 is an abundant number, since it is smaller than the sum of its proper divisors (156725712).

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

78785928 is a wasteful number, since it uses less digits than its factorization.

78785928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 78785928 is about 8876.1437572856. The cubic root of 78785928 is about 428.6961187663.

The spelling of 78785928 in words is "seventy-eight million, seven hundred eighty-five thousand, nine hundred twenty-eight".