78946128 has 60 divisors (see below), whose sum is σ = 222286740. Its totient is φ = 26155008.

The previous prime is 78946117. The next prime is 78946141. The reversal of 78946128 is 82164987.

It can be written as a sum of positive squares in 2 ways, for example, as 68757264 + 10188864 = 8292^2 + 3192^2 .

It is a super-2 number, since 2×78946128² = 12464982252384768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23328 + ... + 26496.

It is an arithmetic number, because the mean of its divisors is an integer number (3704779).

Almost surely, 2^78946128 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 78946128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111143370).

78946128 is an abundant number, since it is smaller than the sum of its proper divisors (143340612).

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

78946128 is a wasteful number, since it uses less digits than its factorization.

78946128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3347 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 78946128 is about 8885.1633637204. The cubic root of 78946128 is about 428.9864862811.

The spelling of 78946128 in words is "seventy-eight million, nine hundred forty-six thousand, one hundred twenty-eight".