769414928568 has 256 divisors, whose sum is σ = 2296399472640. Its totient is φ = 211745318400.

The previous prime is 769414928567. The next prime is 769414928603. The reversal of 769414928568 is 865829414967.

It is a Cunningham number, because it is equal to 877163²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769414928567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250867371 + ... + 250870437.

It is an arithmetic number, because the mean of its divisors is an integer number (8970310440).

Almost surely, 2^769414928568 is an apocalyptic number.

769414928568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769414928568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148199736320).

769414928568 is an abundant number, since it is smaller than the sum of its proper divisors (1526984544072).

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

769414928568 is a wasteful number, since it uses less digits than its factorization.

769414928568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4254 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 769414928568 in words is "seven hundred sixty-nine billion, four hundred fourteen million, nine hundred twenty-eight thousand, five hundred sixty-eight".