78145737960 has 128 divisors (see below), whose sum is σ = 236507040000. Its totient is φ = 20655476736.

The previous prime is 78145737941. The next prime is 78145737973. The reversal of 78145737960 is 6973754187.

It is a happy number.

It is a super-2 number, since 2×78145737960² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78145737960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8989296 + ... + 8997984.

It is an arithmetic number, because the mean of its divisors is an integer number (1847711250).

Almost surely, 2^78145737960 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 78145737960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118253520000).

78145737960 is an abundant number, since it is smaller than the sum of its proper divisors (158361302040).

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

78145737960 is a wasteful number, since it uses less digits than its factorization.

78145737960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 78145737960 in words is "seventy-eight billion, one hundred forty-five million, seven hundred thirty-seven thousand, nine hundred sixty".