769984505313606 has 384 divisors, whose sum is σ = 2035816112259072. Its totient is φ = 207538982784000.

The previous prime is 769984505313553. The next prime is 769984505313613. The reversal of 769984505313606 is 606313505489967.

769984505313606 is a `hidden beast` number, since 7 + 6 + 9 + 9 + 8 + 4 + 5 + 0 + 5 + 3 + 1 + 3 + 606 = 666.

It is a super-2 number, since 2×769984505313606² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31367751825 + ... + 31367776371.

It is an arithmetic number, because the mean of its divisors is an integer number (5301604459008).

Almost surely, 2^{769984505313606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769984505313606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017908056129536).

769984505313606 is an abundant number, since it is smaller than the sum of its proper divisors (1265831606945466).

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

769984505313606 is a wasteful number, since it uses less digits than its factorization.

769984505313606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31648 (or 31645 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 769984505313606 in words is "seven hundred sixty-nine trillion, nine hundred eighty-four billion, five hundred five million, three hundred thirteen thousand, six hundred six".