78952 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 38640.

The previous prime is 78941. The next prime is 78977. The reversal of 78952 is 25987.

78952 is a Rhonda number in base 12.

It is a plaindrome in base 16.

It is an unprimeable number.

78952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 499 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁷⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

78952 is a deficient number, since it is larger than the sum of its proper divisors (72248).

78952 is a wasteful number, since it uses less digits than its factorization.

78952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 78952 is about 280.9839853088. The cubic root of 78952 is about 42.8997121999.

It can be divided in two parts, 789 and 52, that added together give a square (841 = 29²).

The spelling of 78952 in words is "seventy-eight thousand, nine hundred fifty-two".