765323460 has 288 divisors, whose sum is σ = 2646483840. Its totient is φ = 177408000.

The previous prime is 765323431. The next prime is 765323467. The reversal of 765323460 is 64323567.

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 (765323467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7577410 + ... + 7577510.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^765323460 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 765323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

765323460 is an abundant number, since it is smaller than the sum of its proper divisors (1881160380).

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

765323460 is a wasteful number, since it uses less digits than its factorization.

765323460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 765323460 is about 27664.4801143994. The cubic root of 765323460 is about 914.7063108324.

It can be divided in two parts, 7653 and 23460, that added together give a palindrome (31113).

The spelling of 765323460 in words is "seven hundred sixty-five million, three hundred twenty-three thousand, four hundred sixty".