78443856 has 120 divisors (see below), whose sum is σ = 238109760. Its totient is φ = 24722496.

The previous prime is 78443851. The next prime is 78443887. The reversal of 78443856 is 65834487.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78443851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155701 + ... + 156203.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 2^78443856 is an apocalyptic number.

78443856 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78443856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

78443856 is an abundant number, since it is smaller than the sum of its proper divisors (159665904).

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

78443856 is a wasteful number, since it uses less digits than its factorization.

78443856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 527 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 78443856 is about 8856.8536173971. The cubic root of 78443856 is about 428.0747824026.

The spelling of 78443856 in words is "seventy-eight million, four hundred forty-three thousand, eight hundred fifty-six".