765199680 has 168 divisors, whose sum is σ = 2826337248. Its totient is φ = 174892032.

The previous prime is 765199667. The next prime is 765199717. The reversal of 765199680 is 86991567.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38907 + ... + 55173.

It is an arithmetic number, because the mean of its divisors is an integer number (16823436).

Almost surely, 2^765199680 is an apocalyptic number.

765199680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413168624).

765199680 is an abundant number, since it is smaller than the sum of its proper divisors (2061137568).

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

765199680 is a wasteful number, since it uses less digits than its factorization.

765199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 765199680 is about 27662.2428591754. The cubic root of 765199680 is about 914.6569946684.

The spelling of 765199680 in words is "seven hundred sixty-five million, one hundred ninety-nine thousand, six hundred eighty".