78456 has 32 divisors (see below), whose sum is σ = 224640. Its totient is φ = 22368.

The previous prime is 78439. The next prime is 78467. The reversal of 78456 is 65487.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

78456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁷⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

78456 is an abundant number, since it is smaller than the sum of its proper divisors (146184).

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

78456 is a wasteful number, since it uses less digits than its factorization.

78456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 78456 is about 280.0999821492. The cubic root of 78456 is about 42.8096871542.

The spelling of 78456 in words is "seventy-eight thousand, four hundred fifty-six".