78706712448 has 1344 divisors, whose sum is σ = 313373767680. Its totient is φ = 19214807040.

The previous prime is 78706712437. The next prime is 78706712473. The reversal of 78706712448 is 84421760787.

78706712448 is a `hidden beast` number, since 78 + 70 + 67 + 1 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78706712394 and 78706712403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2538926193 + ... + 2538926223.

Almost surely, 2^78706712448 is an apocalyptic number.

78706712448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78706712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686883840).

78706712448 is an abundant number, since it is smaller than the sum of its proper divisors (234667055232).

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

78706712448 is a wasteful number, since it uses less digits than its factorization.

78706712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 78706712448 in words is "seventy-eight billion, seven hundred six million, seven hundred twelve thousand, four hundred forty-eight".