78957 has 12 divisors (see below), whose sum is σ = 118144. Its totient is φ = 50760.

The previous prime is 78941. The next prime is 78977. The reversal of 78957 is 75987.

It is not a de Polignac number, because 78957 - 2⁴ = 78941 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78977) 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, 138 + ... + 420.

2⁷⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

78957 is a deficient number, since it is larger than the sum of its proper divisors (39187).

78957 is a wasteful number, since it uses less digits than its factorization.

78957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 78957 is about 280.9928824721. The cubic root of 78957 is about 42.9006177882.

It can be divided in two parts, 78 and 957, that added together give a triangular number (1035 = T₄₅).

The spelling of 78957 in words is "seventy-eight thousand, nine hundred fifty-seven".