769800960 has 216 divisors, whose sum is σ = 2804408880. Its totient is φ = 194420736.

The previous prime is 769800937. The next prime is 769800971. The reversal of 769800960 is 69008967.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 217122 + ... + 220638.

Almost surely, 2^769800960 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 769800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402204440).

769800960 is an abundant number, since it is smaller than the sum of its proper divisors (2034607920).

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

769800960 is a wasteful number, since it uses less digits than its factorization.

769800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 769800960 is about 27745.2871673731. The cubic root of 769800960 is about 916.4866632046.

The spelling of 769800960 in words is "seven hundred sixty-nine million, eight hundred thousand, nine hundred sixty".