78120469701760 has 64 divisors (see below), whose sum is σ = 188502138213120. Its totient is φ = 30956148714496.

The previous prime is 78120469701733. The next prime is 78120469701761. The reversal of 78120469701760 is 6710796402187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×78120469701760² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78120469701695 and 78120469701704.

It is not an unprimeable number, because it can be changed into a prime (78120469701761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 570320464 + ... + 570457423.

It is an arithmetic number, because the mean of its divisors is an integer number (2945345909580).

Almost surely, 2^{78120469701760} is an apocalyptic number.

It is an amenable number.

78120469701760 is an abundant number, since it is smaller than the sum of its proper divisors (110381668511360).

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

78120469701760 is a wasteful number, since it uses less digits than its factorization.

78120469701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140778013 (or 1140778001 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 78120469701760 in words is "seventy-eight trillion, one hundred twenty billion, four hundred sixty-nine million, seven hundred one thousand, seven hundred sixty".