765320928 has 96 divisors (see below), whose sum is σ = 2081479680. Its totient is φ = 246059520.

The previous prime is 765320921. The next prime is 765320957. The reversal of 765320928 is 829023567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×765320928² = 1171432245669562368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 765320928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765320921) 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, 319158 + ... + 321546.

It is an arithmetic number, because the mean of its divisors is an integer number (21682080).

Almost surely, 2^765320928 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 765320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040739840).

765320928 is an abundant number, since it is smaller than the sum of its proper divisors (1316158752).

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

765320928 is a wasteful number, since it uses less digits than its factorization.

765320928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 765320928 is about 27664.4343517087. The cubic root of 765320928 is about 914.7053020916.

The spelling of 765320928 in words is "seven hundred sixty-five million, three hundred twenty thousand, nine hundred twenty-eight".