78378803294688 has 432 divisors, whose sum is σ = 265016187583056. Its totient is φ = 22697927516160.

The previous prime is 78378803294683. The next prime is 78378803294707. The reversal of 78378803294688 is 88649230887387.

78378803294688 is a `hidden beast` number, since 7 + 8 + 3 + 78 + 80 + 3 + 2 + 9 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×78378803294688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78378803294683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20586258 + ... + 24094638.

It is an arithmetic number, because the mean of its divisors is an integer number (613463397183).

Almost surely, 2^{78378803294688} is an apocalyptic number.

78378803294688 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 78378803294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132508093791528).

78378803294688 is an abundant number, since it is smaller than the sum of its proper divisors (186637384288368).

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

78378803294688 is a wasteful number, since it uses less digits than its factorization.

78378803294688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508449 (or 3508416 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 78378803294688 in words is "seventy-eight trillion, three hundred seventy-eight billion, eight hundred three million, two hundred ninety-four thousand, six hundred eighty-eight".