769116733440 has 864 divisors, whose sum is σ = 2801474006688. Its totient is φ = 179935641600.

The previous prime is 769116733439. The next prime is 769116733457. The reversal of 769116733440 is 44337611967.

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 47 ways as a sum of consecutive naturals, for example, 12608471010 + ... + 12608471070.

It is an arithmetic number, because the mean of its divisors is an integer number (3242446767).

Almost surely, 2^769116733440 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 769116733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400737003344).

769116733440 is an abundant number, since it is smaller than the sum of its proper divisors (2032357273248).

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

769116733440 is an equidigital number, since it uses as much as digits as its factorization.

769116733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 769116733440 in words is "seven hundred sixty-nine billion, one hundred sixteen million, seven hundred thirty-three thousand, four hundred forty".