78946273082880 has 3840 divisors, whose sum is σ = 357254769231360. Its totient is φ = 15695924428800.

The previous prime is 78946273082879. The next prime is 78946273082933. The reversal of 78946273082880 is 8828037264987.

78946273082880 is a `hidden beast` number, since 7 + 8 + 9 + 462 + 7 + 3 + 0 + 82 + 8 + 80 = 666.

78946273082880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78946273082799 and 78946273082808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 198857110842 + ... + 198857111238.

It is an arithmetic number, because the mean of its divisors is an integer number (93035096154).

Almost surely, 2^{78946273082880} is an apocalyptic number.

78946273082880 is a gapful number since it is divisible by the number (70) 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 78946273082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178627384615680).

78946273082880 is an abundant number, since it is smaller than the sum of its proper divisors (278308496148480).

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

78946273082880 is a wasteful number, since it uses less digits than its factorization.

78946273082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 78946273082880 in words is "seventy-eight trillion, nine hundred forty-six billion, two hundred seventy-three million, eighty-two thousand, eight hundred eighty".