769920531072 has 256 divisors, whose sum is σ = 2557335905280. Its totient is φ = 199383367680.

The previous prime is 769920531049. The next prime is 769920531097. The reversal of 769920531072 is 270135029967.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9925783 + ... + 10003049.

It is an arithmetic number, because the mean of its divisors is an integer number (9989593380).

Almost surely, 2^769920531072 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 769920531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278667952640).

769920531072 is an abundant number, since it is smaller than the sum of its proper divisors (1787415374208).

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

769920531072 is a wasteful number, since it uses less digits than its factorization.

769920531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77639 (or 77627 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 769920531072 in words is "seven hundred sixty-nine billion, nine hundred twenty million, five hundred thirty-one thousand, seventy-two".