769123416096 has 960 divisors, whose sum is σ = 2833045383168. Its totient is φ = 199696637952.

The previous prime is 769123416059. The next prime is 769123416109. The reversal of 769123416096 is 690614321967.

769123416096 is a `hidden beast` number, since 7 + 6 + 9 + 1 + 23 + 4 + 1 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1366115911 + ... + 1366116473.

Almost surely, 2^769123416096 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 769123416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416522691584).

769123416096 is an abundant number, since it is smaller than the sum of its proper divisors (2063921967072).

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

769123416096 is a wasteful number, since it uses less digits than its factorization.

769123416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 769123416096 in words is "seven hundred sixty-nine billion, one hundred twenty-three million, four hundred sixteen thousand, ninety-six".