765640050 has 192 divisors, whose sum is σ = 2339850240. Its totient is φ = 161694720.

The previous prime is 765640009. The next prime is 765640079. The reversal of 765640050 is 50046567.

It is a junction number, because it is equal to n+sod(n) for n = 765639993 and 765640020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052787 + ... + 1053513.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^765640050 is an apocalyptic number.

765640050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 765640050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

765640050 is an abundant number, since it is smaller than the sum of its proper divisors (1574210190).

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

765640050 is a wasteful number, since it uses less digits than its factorization.

765640050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 765640050 is about 27670.2014810156. The cubic root of 765640050 is about 914.8324217577.

The spelling of 765640050 in words is "seven hundred sixty-five million, six hundred forty thousand, fifty".