78418958960 has 80 divisors (see below), whose sum is σ = 186643158240. Its totient is φ = 30625136640.

The previous prime is 78418958953. The next prime is 78418958987. The reversal of 78418958960 is 6985981487.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78418958960² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14201000 + ... + 14206520.

It is an arithmetic number, because the mean of its divisors is an integer number (2333039478).

Almost surely, 2^78418958960 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 78418958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93321579120).

78418958960 is an abundant number, since it is smaller than the sum of its proper divisors (108224199280).

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

78418958960 is a wasteful number, since it uses less digits than its factorization.

78418958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 65.

The spelling of 78418958960 in words is "seventy-eight billion, four hundred eighteen million, nine hundred fifty-eight thousand, nine hundred sixty".