78064 has 40 divisors (see below), whose sum is σ = 187488. Its totient is φ = 30720.

The previous prime is 78059. The next prime is 78079. The reversal of 78064 is 46087.

78064 = 22² + 23² + ... + 62².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884 + ... + 1924.

2⁷⁸⁰⁶⁴ 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 78064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

78064 is an abundant number, since it is smaller than the sum of its proper divisors (109424).

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

78064 is a wasteful number, since it uses less digits than its factorization.

78064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 78064 is about 279.3993557616. The cubic root of 78064 is about 42.7382695264.

The spelling of 78064 in words is "seventy-eight thousand, sixty-four".