78545760 has 48 divisors (see below), whose sum is σ = 247420656. Its totient is φ = 20945408.

The previous prime is 78545749. The next prime is 78545771. The reversal of 78545760 is 6754587.

It is an interprime number because it is at equal distance from previous prime (78545749) and next prime (78545771).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81339 + ... + 82298.

It is an arithmetic number, because the mean of its divisors is an integer number (5154597).

Almost surely, 2^78545760 is an apocalyptic number.

It is an amenable number.

78545760 is an abundant number, since it is smaller than the sum of its proper divisors (168874896).

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

78545760 is a wasteful number, since it uses less digits than its factorization.

78545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163655 (or 163647 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 78545760 is about 8862.6045833039. The cubic root of 78545760 is about 428.2600684527.

The spelling of 78545760 in words is "seventy-eight million, five hundred forty-five thousand, seven hundred sixty".