78984144 has 30 divisors (see below), whose sum is σ = 221046306. Its totient is φ = 26328000.

The previous prime is 78984137. The next prime is 78984149. The reversal of 78984144 is 44148987.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 15303744 = 7980^2 + 3912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78984144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78984149) 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 5 ways as a sum of consecutive naturals, for example, 274107 + ... + 274394.

Almost surely, 2^78984144 is an apocalyptic number.

It is an amenable number.

78984144 is an abundant number, since it is smaller than the sum of its proper divisors (142062162).

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

78984144 is a wasteful number, since it uses less digits than its factorization.

78984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548515 (or 548506 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 78984144 is about 8887.3024028667. The cubic root of 78984144 is about 429.0553337920.

The spelling of 78984144 in words is "seventy-eight million, nine hundred eighty-four thousand, one hundred forty-four".