78690484224 has 384 divisors, whose sum is σ = 251251752960. Its totient is φ = 23533977600.

The previous prime is 78690484207. The next prime is 78690484319. The reversal of 78690484224 is 42248409687.

78690484224 is a `hidden beast` number, since 78 + 6 + 90 + 484 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411991969 + ... + 411992159.

It is an arithmetic number, because the mean of its divisors is an integer number (654301440).

Almost surely, 2^78690484224 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 78690484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125625876480).

78690484224 is an abundant number, since it is smaller than the sum of its proper divisors (172561268736).

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

78690484224 is a wasteful number, since it uses less digits than its factorization.

78690484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 78690484224 in words is "seventy-eight billion, six hundred ninety million, four hundred eighty-four thousand, two hundred twenty-four".