78318174960 has 120 divisors (see below), whose sum is σ = 263076562320. Its totient is φ = 20880239616.

The previous prime is 78318174953. The next prime is 78318174983. The reversal of 78318174960 is 6947181387.

78318174960 is a `hidden beast` number, since 78 + 3 + 1 + 81 + 7 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78318174960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78318174897 and 78318174906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359276 + ... + 4377204.

It is an arithmetic number, because the mean of its divisors is an integer number (2192304686).

Almost surely, 2^78318174960 is an apocalyptic number.

It is an amenable number.

78318174960 is an abundant number, since it is smaller than the sum of its proper divisors (184758387360).

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

78318174960 is a wasteful number, since it uses less digits than its factorization.

78318174960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24015 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 78318174960 in words is "seventy-eight billion, three hundred eighteen million, one hundred seventy-four thousand, nine hundred sixty".