78016560 has 120 divisors (see below), whose sum is σ = 249229584. Its totient is φ = 20183040.

The previous prime is 78016537. The next prime is 78016567. The reversal of 78016560 is 6561087.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78016567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068684 + ... + 1068756.

Almost surely, 2^78016560 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 78016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124614792).

78016560 is an abundant number, since it is smaller than the sum of its proper divisors (171213024).

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

78016560 is a wasteful number, since it uses less digits than its factorization.

78016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 78016560 is about 8832.6983419564. The cubic root of 78016560 is about 427.2961033070.

The spelling of 78016560 in words is "seventy-eight million, sixteen thousand, five hundred sixty".