765215164 has 48 divisors (see below), whose sum is σ = 1566432000. Its totient is φ = 326949168.

The previous prime is 765215161. The next prime is 765215173. The reversal of 765215164 is 461512567.

It is a happy number.

765215164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765215161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607167 + ... + 608425.

It is an arithmetic number, because the mean of its divisors is an integer number (32634000).

Almost surely, 2^765215164 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 765215164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783216000).

765215164 is an abundant number, since it is smaller than the sum of its proper divisors (801216836).

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

765215164 is a wasteful number, since it uses less digits than its factorization.

765215164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1711 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 765215164 is about 27662.5227338361. The cubic root of 765215164 is about 914.6631640617.

The spelling of 765215164 in words is "seven hundred sixty-five million, two hundred fifteen thousand, one hundred sixty-four".