78580416 has 56 divisors (see below), whose sum is σ = 210458304. Its totient is φ = 25872640.

The previous prime is 78580391. The next prime is 78580417. The reversal of 78580416 is 61408587.

It is not an unprimeable number, because it can be changed into a prime (78580417) 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 7 ways as a sum of consecutive naturals, for example, 13471 + ... + 18401.

It is an arithmetic number, because the mean of its divisors is an integer number (3758184).

Almost surely, 2^78580416 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 78580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105229152).

78580416 is an abundant number, since it is smaller than the sum of its proper divisors (131877888).

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

78580416 is a wasteful number, since it uses less digits than its factorization.

78580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 78580416 is about 8864.5595491259. The cubic root of 78580416 is about 428.3230448995.

The spelling of 78580416 in words is "seventy-eight million, five hundred eighty thousand, four hundred sixteen".