769280512 has 320 divisors, whose sum is σ = 2199859200. Its totient is φ = 258785280.

The previous prime is 769280509. The next prime is 769280513. The reversal of 769280512 is 215082967.

It is a super-2 number, since 2×769280512² = 1183585012285964288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (769280513) 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, 9737689 + ... + 9737767.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^769280512 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 769280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

769280512 is an abundant number, since it is smaller than the sum of its proper divisors (1430578688).

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

769280512 is a wasteful number, since it uses less digits than its factorization.

769280512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 769280512 is about 27735.9065472899. The cubic root of 769280512 is about 916.2800768231.

The spelling of 769280512 in words is "seven hundred sixty-nine million, two hundred eighty thousand, five hundred twelve".