78145548338760 has 256 divisors, whose sum is σ = 276950914007040. Its totient is φ = 17261870376960.

The previous prime is 78145548338747. The next prime is 78145548338783. The reversal of 78145548338760 is 6783384554187.

It is a super-2 number, since 2×78145548338760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16867132 + ... + 20995028.

It is an arithmetic number, because the mean of its divisors is an integer number (1081839507840).

Almost surely, 2^{78145548338760} is an apocalyptic number.

78145548338760 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 78145548338760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475457003520).

78145548338760 is an abundant number, since it is smaller than the sum of its proper divisors (198805365668280).

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

78145548338760 is a wasteful number, since it uses less digits than its factorization.

78145548338760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128676 (or 4128672 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 78145548338760 in words is "seventy-eight trillion, one hundred forty-five billion, five hundred forty-eight million, three hundred thirty-eight thousand, seven hundred sixty".