78833179680 has 384 divisors, whose sum is σ = 274052782080. Its totient is φ = 18974269440.

The previous prime is 78833179651. The next prime is 78833179687. The reversal of 78833179680 is 8697133887.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (78833179687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16076109 + ... + 16081011.

It is an arithmetic number, because the mean of its divisors is an integer number (713679120).

Almost surely, 2^78833179680 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 78833179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137026391040).

78833179680 is an abundant number, since it is smaller than the sum of its proper divisors (195219602400).

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

78833179680 is a wasteful number, since it uses less digits than its factorization.

78833179680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 78833179680 in words is "seventy-eight billion, eight hundred thirty-three million, one hundred seventy-nine thousand, six hundred eighty".