78010560 has 112 divisors (see below), whose sum is σ = 275234400. Its totient is φ = 20800512.

The previous prime is 78010531. The next prime is 78010573. The reversal of 78010560 is 6501087.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4126 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (2457450).

Almost surely, 2^78010560 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 78010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137617200).

78010560 is an abundant number, since it is smaller than the sum of its proper divisors (197223840).

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

78010560 is a wasteful number, since it uses less digits than its factorization.

78010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78010560 is about 8832.3586883686. The cubic root of 78010560 is about 427.2851490414.

The spelling of 78010560 in words is "seventy-eight million, ten thousand, five hundred sixty".