769516140960 has 864 divisors, whose sum is σ = 3208175268480. Its totient is φ = 167152398336.

The previous prime is 769516140959. The next prime is 769516140973. The reversal of 769516140960 is 69041615967.

It is a happy number.

769516140960 is a `hidden beast` number, since 7 + 69 + 516 + 1 + 4 + 0 + 9 + 60 = 666.

769516140960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 769516140897 and 769516140906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264527986 + ... + 264530894.

It is an arithmetic number, because the mean of its divisors is an integer number (3713165820).

Almost surely, 2^769516140960 is an apocalyptic number.

769516140960 is a gapful number since it is divisible by the number (70) 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 769516140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604087634240).

769516140960 is an abundant number, since it is smaller than the sum of its proper divisors (2438659127520).

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

769516140960 is a wasteful number, since it uses less digits than its factorization.

769516140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 769516140960 in words is "seven hundred sixty-nine billion, five hundred sixteen million, one hundred forty thousand, nine hundred sixty".