765472320 has 168 divisors, whose sum is σ = 2672876544. Its totient is φ = 201028608.

The previous prime is 765472297. The next prime is 765472321. The reversal of 765472320 is 23274567.

It is a happy number.

765472320 is a `hidden beast` number, since 76 + 547 + 23 + 20 = 666.

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 (765472321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190977 + ... + 194943.

Almost surely, 2^765472320 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 765472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336438272).

765472320 is an abundant number, since it is smaller than the sum of its proper divisors (1907404224).

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

765472320 is a wasteful number, since it uses less digits than its factorization.

765472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 765472320 is about 27667.1704371806. The cubic root of 765472320 is about 914.7656122743.

The spelling of 765472320 in words is "seven hundred sixty-five million, four hundred seventy-two thousand, three hundred twenty".