78066560 has 128 divisors (see below), whose sum is σ = 219512160. Its totient is φ = 26173440.

The previous prime is 78066557. The next prime is 78066589. The reversal of 78066560 is 6566087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 91094 + ... + 91946.

Almost surely, 2^78066560 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 78066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109756080).

78066560 is an abundant number, since it is smaller than the sum of its proper divisors (141445600).

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

78066560 is a wasteful number, since it uses less digits than its factorization.

78066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 78066560 is about 8835.5282807538. The cubic root of 78066560 is about 427.3873670192.

The spelling of 78066560 in words is "seventy-eight million, sixty-six thousand, five hundred sixty".