788398310822272 has 512 divisors, whose sum is σ = 1703263784140800. Its totient is φ = 362784246128640.

The previous prime is 788398310822251. The next prime is 788398310822329. The reversal of 788398310822272 is 272228013893887.

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 63 ways as a sum of consecutive naturals, for example, 957956634853 + ... + 957956635675.

It is an arithmetic number, because the mean of its divisors is an integer number (3326687078400).

Almost surely, 2^{788398310822272} 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 788398310822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851631892070400).

788398310822272 is an abundant number, since it is smaller than the sum of its proper divisors (914865473318528).

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

788398310822272 is a wasteful number, since it uses less digits than its factorization.

788398310822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 70.

The spelling of 788398310822272 in words is "seven hundred eighty-eight trillion, three hundred ninety-eight billion, three hundred ten million, eight hundred twenty-two thousand, two hundred seventy-two".