764328960 has 440 divisors, whose sum is σ = 2912799120. Its totient is φ = 191102976.

The previous prime is 764328889. The next prime is 764328973. The reversal of 764328960 is 69823467.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879632 + ... + 7879728.

It is an arithmetic number, because the mean of its divisors is an integer number (6619998).

Almost surely, 2^764328960 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 764328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456399560).

764328960 is an abundant number, since it is smaller than the sum of its proper divisors (2148470160).

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

764328960 is a wasteful number, since it uses less digits than its factorization.

764328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 764328960 is about 27646.4999593077. The cubic root of 764328960 is about 914.3099338822.

The spelling of 764328960 in words is "seven hundred sixty-four million, three hundred twenty-eight thousand, nine hundred sixty".