765667760 has 320 divisors, whose sum is σ = 2303852544. Its totient is φ = 232243200.

The previous prime is 765667753. The next prime is 765667783. The reversal of 765667760 is 67766567.

It is a junction number, because it is equal to n+sod(n) for n = 765667699 and 765667708.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6028817 + ... + 6028943.

Almost surely, 2^765667760 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 765667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151926272).

765667760 is an abundant number, since it is smaller than the sum of its proper divisors (1538184784).

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

765667760 is a wasteful number, since it uses less digits than its factorization.

765667760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 50.

The square root of 765667760 is about 27670.7021956437. The cubic root of 765667760 is about 914.8434581451.

The spelling of 765667760 in words is "seven hundred sixty-five million, six hundred sixty-seven thousand, seven hundred sixty".