78575760 has 60 divisors (see below), whose sum is σ = 263886012. Its totient is φ = 20953344.

The previous prime is 78575737. The next prime is 78575873. The reversal of 78575760 is 6757587.

78575760 is a `hidden beast` number, since 7 + 8 + 575 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 43718544 = 5904^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53847 + ... + 55286.

Almost surely, 2^78575760 is an apocalyptic number.

It is an amenable number.

78575760 is an abundant number, since it is smaller than the sum of its proper divisors (185310252).

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

78575760 is a wasteful number, since it uses less digits than its factorization.

78575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109152 (or 109143 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 78575760 is about 8864.2969264347. The cubic root of 78575760 is about 428.3145851518.

The spelling of 78575760 in words is "seventy-eight million, five hundred seventy-five thousand, seven hundred sixty".