78829201080 has 512 divisors, whose sum is σ = 320864256000. Its totient is φ = 16812956160.

The previous prime is 78829201063. The next prime is 78829201111. The reversal of 78829201080 is 8010292887.

It is a happy number.

It is a super-2 number, since 2×78829201080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 9619785 + ... + 9627975.

It is an arithmetic number, because the mean of its divisors is an integer number (626688000).

Almost surely, 2^78829201080 is an apocalyptic number.

78829201080 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 78829201080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160432128000).

78829201080 is an abundant number, since it is smaller than the sum of its proper divisors (242035054920).

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

78829201080 is a wasteful number, since it uses less digits than its factorization.

78829201080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 78829201080 in words is "seventy-eight billion, eight hundred twenty-nine million, two hundred one thousand, eighty".