764045568 has 288 divisors, whose sum is σ = 2657854080. Its totient is φ = 213442560.

The previous prime is 764045567. The next prime is 764045573. The reversal of 764045568 is 865540467.

764045568 is a `hidden beast` number, since 7 + 6 + 40 + 45 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (764045563) 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 31 ways as a sum of consecutive naturals, for example, 988030 + ... + 988802.

It is an arithmetic number, because the mean of its divisors is an integer number (9228660).

Almost surely, 2^764045568 is an apocalyptic number.

764045568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328927040).

764045568 is an abundant number, since it is smaller than the sum of its proper divisors (1893808512).

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

764045568 is a wasteful number, since it uses less digits than its factorization.

764045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 764045568 is about 27641.3742060701. The cubic root of 764045568 is about 914.1969196504.

The spelling of 764045568 in words is "seven hundred sixty-four million, forty-five thousand, five hundred sixty-eight".