769114968064 has 117 divisors (see below), whose sum is σ = 1568134669269. Its totient is φ = 377176719360.

The previous prime is 769114968047. The next prime is 769114968151. The reversal of 769114968064 is 460869411967.

The square root of 769114968064 is 876992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186347622400 + 582767345664 = 431680^2 + 763392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 769114967993 and 769114968011.

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 8 ways as a sum of consecutive naturals, for example, 3985051552 + ... + 3985051744.

Almost surely, 2^769114968064 is an apocalyptic number.

769114968064 is the 876992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769114968064

769114968064 is an abundant number, since it is smaller than the sum of its proper divisors (799019701205).

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

769114968064 is an frugal number, since it uses more digits than its factorization.

769114968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 769114968064 in words is "seven hundred sixty-nine billion, one hundred fourteen million, nine hundred sixty-eight thousand, sixty-four".