789669295272 has 512 divisors, whose sum is σ = 2747183040000. Its totient is φ = 206477475840.

The previous prime is 789669295253. The next prime is 789669295273. The reversal of 789669295272 is 272592966987.

789669295272 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 6 + 92 + 9 + 527 + 2 = 666.

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 789669295272.

It is not an unprimeable number, because it can be changed into a prime (789669295273) 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, 78234258 + ... + 78244350.

It is an arithmetic number, because the mean of its divisors is an integer number (5365591875).

Almost surely, 2^789669295272 is an apocalyptic number.

789669295272 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 789669295272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373591520000).

789669295272 is an abundant number, since it is smaller than the sum of its proper divisors (1957513744728).

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

789669295272 is a wasteful number, since it uses less digits than its factorization.

789669295272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10288 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 789669295272 in words is "seven hundred eighty-nine billion, six hundred sixty-nine million, two hundred ninety-five thousand, two hundred seventy-two".