769077456 has 160 divisors (see below), whose sum is σ = 2331279360. Its totient is φ = 213954048.

The previous prime is 769077451. The next prime is 769077457. The reversal of 769077456 is 654770967.

769077456 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 = 769077399 and 769077408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769077451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2858890 + ... + 2859158.

It is an arithmetic number, because the mean of its divisors is an integer number (14570496).

Almost surely, 2^769077456 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 769077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165639680).

769077456 is an abundant number, since it is smaller than the sum of its proper divisors (1562201904).

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

769077456 is a wasteful number, since it uses less digits than its factorization.

769077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 769077456 is about 27732.2457799580. The cubic root of 769077456 is about 916.1994506029.

The spelling of 769077456 in words is "seven hundred sixty-nine million, seventy-seven thousand, four hundred fifty-six".