78688247040 has 720 divisors, whose sum is σ = 307473196800. Its totient is φ = 19098353664.

The previous prime is 78688247003. The next prime is 78688247051. The reversal of 78688247040 is 4074288687.

It is a happy number.

78688247040 is a `hidden beast` number, since 78 + 68 + 8 + 2 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106478991 + ... + 106479729.

Almost surely, 2^78688247040 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 78688247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153736598400).

78688247040 is an abundant number, since it is smaller than the sum of its proper divisors (228784949760).

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

78688247040 is a wasteful number, since it uses less digits than its factorization.

78688247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 78688247040 in words is "seventy-eight billion, six hundred eighty-eight million, two hundred forty-seven thousand, forty".