78793344 has 128 divisors (see below), whose sum is σ = 265852800. Its totient is φ = 22505472.

The previous prime is 78793343. The next prime is 78793357. The reversal of 78793344 is 44339787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78793344.

It is not an unprimeable number, because it can be changed into a prime (78793343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22564 + ... + 25820.

It is an arithmetic number, because the mean of its divisors is an integer number (2076975).

Almost surely, 2^78793344 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 78793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132926400).

78793344 is an abundant number, since it is smaller than the sum of its proper divisors (187059456).

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

78793344 is a wasteful number, since it uses less digits than its factorization.

78793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3269 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 78793344 is about 8876.5614964354. The cubic root of 78793344 is about 428.7095691829.

The spelling of 78793344 in words is "seventy-eight million, seven hundred ninety-three thousand, three hundred forty-four".