78827424 has 96 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 23930880.

The previous prime is 78827401. The next prime is 78827431. The reversal of 78827424 is 42472887.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103204 + ... + 103964.

It is an arithmetic number, because the mean of its divisors is an integer number (2352294).

Almost surely, 2^78827424 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 78827424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).

78827424 is an abundant number, since it is smaller than the sum of its proper divisors (146992800).

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

78827424 is a wasteful number, since it uses less digits than its factorization.

78827424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 78827424 is about 8878.4809511538. The cubic root of 78827424 is about 428.7713693106.

The spelling of 78827424 in words is "seventy-eight million, eight hundred twenty-seven thousand, four hundred twenty-four".