78064320 has 112 divisors (see below), whose sum is σ = 249631200. Its totient is φ = 20668416.

The previous prime is 78064291. The next prime is 78064333. The reversal of 78064320 is 2346087.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223506 + ... + 223854.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^78064320 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 78064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

78064320 is an abundant number, since it is smaller than the sum of its proper divisors (171566880).

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

78064320 is a wasteful number, since it uses less digits than its factorization.

78064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78064320 is about 8835.4015188898. The cubic root of 78064320 is about 427.3832792388.

The spelling of 78064320 in words is "seventy-eight million, sixty-four thousand, three hundred twenty".