769286656 has 40 divisors (see below), whose sum is σ = 1544075280. Its totient is φ = 382891008.

The previous prime is 769286591. The next prime is 769286657. The reversal of 769286656 is 656682967.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 769286597 and 769286606.

It is not an unprimeable number, because it can be changed into a prime (769286657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112915 + ... + 119533.

It is an arithmetic number, because the mean of its divisors is an integer number (38601882).

Almost surely, 2^769286656 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 769286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772037640).

769286656 is an abundant number, since it is smaller than the sum of its proper divisors (774788624).

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

769286656 is an equidigital number, since it uses as much as digits as its factorization.

769286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6848 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 769286656 is about 27736.0173060229. The cubic root of 769286656 is about 916.2825161629.

The spelling of 769286656 in words is "seven hundred sixty-nine million, two hundred eighty-six thousand, six hundred fifty-six".