78983424 has 180 divisors, whose sum is σ = 254496396. Its totient is φ = 24219648.

The previous prime is 78983423. The next prime is 78983473. The reversal of 78983424 is 42438987.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 33177600 = 6768^2 + 5760^2 .

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 78983424.

It is not an unprimeable number, because it can be changed into a prime (78983423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269422 + ... + 269714.

Almost surely, 2^78983424 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 78983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127248198).

78983424 is an abundant number, since it is smaller than the sum of its proper divisors (175512972).

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

78983424 is a wasteful number, since it uses less digits than its factorization.

78983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 78983424 is about 8887.2618955447. The cubic root of 78983424 is about 429.0540300672.

The spelling of 78983424 in words is "seventy-eight million, nine hundred eighty-three thousand, four hundred twenty-four".