764512640 has 128 divisors (see below), whose sum is σ = 1924715520. Its totient is φ = 289822720.

The previous prime is 764512631. The next prime is 764512643. The reversal of 764512640 is 46215467.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 764512640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764512643) 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 15 ways as a sum of consecutive naturals, for example, 2458085 + ... + 2458395.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^764512640 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 764512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

764512640 is an abundant number, since it is smaller than the sum of its proper divisors (1160202880).

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

764512640 is a wasteful number, since it uses less digits than its factorization.

764512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 764512640 is about 27649.8216992443. The cubic root of 764512640 is about 914.3831689273.

The spelling of 764512640 in words is "seven hundred sixty-four million, five hundred twelve thousand, six hundred forty".