78560064 has 112 divisors (see below), whose sum is σ = 252008640. Its totient is φ = 23800320.

The previous prime is 78560063. The next prime is 78560087. The reversal of 78560064 is 46006587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78560063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16942 + ... + 21074.

Almost surely, 2^78560064 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 78560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126004320).

78560064 is an abundant number, since it is smaller than the sum of its proper divisors (173448576).

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

78560064 is a wasteful number, since it uses less digits than its factorization.

78560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78560064 is about 8863.4115328129. The cubic root of 78560064 is about 428.2860637459.

The spelling of 78560064 in words is "seventy-eight million, five hundred sixty thousand, sixty-four".