769832705728 has 224 divisors, whose sum is σ = 1654260758528. Its totient is φ = 354734899200.

The previous prime is 769832705687. The next prime is 769832705729. The reversal of 769832705728 is 827507238967.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 769832705728.

It is not an unprimeable number, because it can be changed into a prime (769832705729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949238443 + ... + 949239253.

It is an arithmetic number, because the mean of its divisors is an integer number (7385092672).

Almost surely, 2^769832705728 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 769832705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827130379264).

769832705728 is an abundant number, since it is smaller than the sum of its proper divisors (884428052800).

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

769832705728 is a wasteful number, since it uses less digits than its factorization.

769832705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 769832705728 in words is "seven hundred sixty-nine billion, eight hundred thirty-two million, seven hundred five thousand, seven hundred twenty-eight".