789968671272 has 512 divisors, whose sum is σ = 2549698560000. Its totient is φ = 224118316800.

The previous prime is 789968671259. The next prime is 789968671279. The reversal of 789968671272 is 272176869987.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 789968671272.

It is not an unprimeable number, because it can be changed into a prime (789968671279) 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, 2276566603 + ... + 2276566949.

It is an arithmetic number, because the mean of its divisors is an integer number (4979880000).

Almost surely, 2^789968671272 is an apocalyptic number.

789968671272 is a gapful number since it is divisible by the number (72) 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 789968671272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274849280000).

789968671272 is an abundant number, since it is smaller than the sum of its proper divisors (1759729888728).

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

789968671272 is a wasteful number, since it uses less digits than its factorization.

789968671272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 789968671272 in words is "seven hundred eighty-nine billion, nine hundred sixty-eight million, six hundred seventy-one thousand, two hundred seventy-two".