764505768 has 64 divisors (see below), whose sum is σ = 2069222400. Its totient is φ = 233982720.

The previous prime is 764505767. The next prime is 764505773. The reversal of 764505768 is 867505467.

764505768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (764505767) 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, 53178 + ... + 66006.

It is an arithmetic number, because the mean of its divisors is an integer number (32331600).

Almost surely, 2^764505768 is an apocalyptic number.

764505768 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 764505768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034611200).

764505768 is an abundant number, since it is smaller than the sum of its proper divisors (1304716632).

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

764505768 is a wasteful number, since it uses less digits than its factorization.

764505768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 764505768 is about 27649.6974305326. The cubic root of 764505768 is about 914.3804292037.

The spelling of 764505768 in words is "seven hundred sixty-four million, five hundred five thousand, seven hundred sixty-eight".