764405856 has 96 divisors (see below), whose sum is σ = 2271719520. Its totient is φ = 249979392.

The previous prime is 764405819. The next prime is 764405857. The reversal of 764405856 is 658504467.

764405856 is a `hidden beast` number, since 7 + 64 + 4 + 0 + 585 + 6 = 666.

764405856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764405857) 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, 37446 + ... + 54138.

It is an arithmetic number, because the mean of its divisors is an integer number (23663745).

Almost surely, 2^764405856 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 764405856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135859760).

764405856 is an abundant number, since it is smaller than the sum of its proper divisors (1507313664).

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

764405856 is a wasteful number, since it uses less digits than its factorization.

764405856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765 (or 16751 counting only the distinct ones).

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

The square root of 764405856 is about 27647.8906247837. The cubic root of 764405856 is about 914.3405945108.

The spelling of 764405856 in words is "seven hundred sixty-four million, four hundred five thousand, eight hundred fifty-six".