78945 has 16 divisors (see below), whose sum is σ = 133440. Its totient is φ = 39744.

The previous prime is 78941. The next prime is 78977. The reversal of 78945 is 54987.

It is not a de Polignac number, because 78945 - 2² = 78941 is a prime.

It is an alternating number because its digits alternate between odd and even.

78945 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78945.

It is not an unprimeable number, because it can be changed into a prime (78941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (8340).

2⁷⁸⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

78945 is a deficient number, since it is larger than the sum of its proper divisors (54495).

78945 is a wasteful number, since it uses less digits than its factorization.

78945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 10080, while the sum is 33.

The square root of 78945 is about 280.9715288067. The cubic root of 78945 is about 42.8984443120.

The spelling of 78945 in words is "seventy-eight thousand, nine hundred forty-five".