78464064 has 112 divisors (see below), whose sum is σ = 240588800. Its totient is φ = 22104576.

The previous prime is 78464059. The next prime is 78464081. The reversal of 78464064 is 46046487.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105807 + ... + 106545.

Almost surely, 2^78464064 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 78464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294400).

78464064 is an abundant number, since it is smaller than the sum of its proper divisors (162124736).

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

78464064 is a wasteful number, since it uses less digits than its factorization.

78464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 78464064 is about 8857.9943553832. The cubic root of 78464064 is about 428.1115381705. Note that the first 3 decimals are identical.

The spelling of 78464064 in words is "seventy-eight million, four hundred sixty-four thousand, sixty-four".