78831100320 has 768 divisors, whose sum is σ = 313899909120. Its totient is φ = 16223846400.

The previous prime is 78831100253. The next prime is 78831100357. The reversal of 78831100320 is 2300113887.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120721114 + ... + 120721766.

It is an arithmetic number, because the mean of its divisors is an integer number (408723840).

Almost surely, 2^78831100320 is an apocalyptic number.

78831100320 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 78831100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156949954560).

78831100320 is an abundant number, since it is smaller than the sum of its proper divisors (235068808800).

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

78831100320 is a wasteful number, since it uses less digits than its factorization.

78831100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 78831100320 in words is "seventy-eight billion, eight hundred thirty-one million, one hundred thousand, three hundred twenty".