765030672 has 120 divisors (see below), whose sum is σ = 2531355840. Its totient is φ = 211034880.

The previous prime is 765030647. The next prime is 765030677. The reversal of 765030672 is 276030567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (765030677) by changing a digit.

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, 16147 + ... + 42317.

It is an arithmetic number, because the mean of its divisors is an integer number (21094632).

Almost surely, 2^765030672 is an apocalyptic number.

765030672 is a gapful number since it is divisible by the number (72) 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 765030672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265677920).

765030672 is an abundant number, since it is smaller than the sum of its proper divisors (1766325168).

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

765030672 is a wasteful number, since it uses less digits than its factorization.

765030672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221 (or 26212 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 765030672 is about 27659.1878405712. The cubic root of 765030672 is about 914.5896502721.

The spelling of 765030672 in words is "seven hundred sixty-five million, thirty thousand, six hundred seventy-two".