769982105088 has 960 divisors, whose sum is σ = 2888493696000. Its totient is φ = 201131900928.

The previous prime is 769982105071. The next prime is 769982105129. The reversal of 769982105088 is 880501289967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373233145 + ... + 373235207.

It is an arithmetic number, because the mean of its divisors is an integer number (3008847600).

Almost surely, 2^769982105088 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 769982105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444246848000).

769982105088 is an abundant number, since it is smaller than the sum of its proper divisors (2118511590912).

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

769982105088 is a wasteful number, since it uses less digits than its factorization.

769982105088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 769982105088 in words is "seven hundred sixty-nine billion, nine hundred eighty-two million, one hundred five thousand, eighty-eight".