769690680 has 256 divisors, whose sum is σ = 2614118400. Its totient is φ = 181209600.

The previous prime is 769690673. The next prime is 769690693. The reversal of 769690680 is 86096967.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9742881 + ... + 9742959.

It is an arithmetic number, because the mean of its divisors is an integer number (10211400).

Almost surely, 2^769690680 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 769690680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307059200).

769690680 is an abundant number, since it is smaller than the sum of its proper divisors (1844427720).

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

769690680 is a wasteful number, since it uses less digits than its factorization.

769690680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 769690680 is about 27743.2997316469. The cubic root of 769690680 is about 916.4428964904.

The spelling of 769690680 in words is "seven hundred sixty-nine million, six hundred ninety thousand, six hundred eighty".