78580678176 has 768 divisors, whose sum is σ = 315034030080. Its totient is φ = 18393661440.

The previous prime is 78580678171. The next prime is 78580678193. The reversal of 78580678176 is 67187608587.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (78580678171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37188096 + ... + 37190208.

It is an arithmetic number, because the mean of its divisors is an integer number (410200560).

Almost surely, 2^78580678176 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 78580678176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157517015040).

78580678176 is an abundant number, since it is smaller than the sum of its proper divisors (236453351904).

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

78580678176 is a wasteful number, since it uses less digits than its factorization.

78580678176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 78580678176 in words is "seventy-eight billion, five hundred eighty million, six hundred seventy-eight thousand, one hundred seventy-six".