78082560 has 120 divisors (see below), whose sum is σ = 270501660. Its totient is φ = 20815872.

The previous prime is 78082507. The next prime is 78082561. The reversal of 78082560 is 6528087.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 4260096 = 8592^2 + 2064^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78082561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21346 + ... + 24734.

Almost surely, 2^78082560 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 78082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135250830).

78082560 is an abundant number, since it is smaller than the sum of its proper divisors (192419100).

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

78082560 is a wasteful number, since it uses less digits than its factorization.

78082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 78082560 is about 8836.4336697561. The cubic root of 78082560 is about 427.4165631767.

The spelling of 78082560 in words is "seventy-eight million, eighty-two thousand, five hundred sixty".