78005760 has 160 divisors (see below), whose sum is σ = 285196032. Its totient is φ = 17817600.

The previous prime is 78005723. The next prime is 78005779. The reversal of 78005760 is 6750087.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 53035 + ... + 54485.

Almost surely, 2^78005760 is an apocalyptic number.

78005760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

78005760 is an abundant number, since it is smaller than the sum of its proper divisors (207190272).

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

78005760 is a wasteful number, since it uses less digits than its factorization.

78005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 78005760 is about 8832.0869560937. The cubic root of 78005760 is about 427.2763852246.

The spelling of 78005760 in words is "seventy-eight million, five thousand, seven hundred sixty".