764917920 has 288 divisors, whose sum is σ = 2910070800. Its totient is φ = 181665792.

The previous prime is 764917919. The next prime is 764917961. The reversal of 764917920 is 29719467.

764917920 is a `hidden beast` number, since 76 + 491 + 7 + 92 + 0 = 666.

764917920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28772496 + 736145424 = 5364^2 + 27132^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542176 + ... + 543584.

Almost surely, 2^764917920 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 764917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455035400).

764917920 is an abundant number, since it is smaller than the sum of its proper divisors (2145152880).

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

764917920 is a wasteful number, since it uses less digits than its factorization.

764917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 764917920 is about 27657.1495277442. The cubic root of 764917920 is about 914.5447166145.

The spelling of 764917920 in words is "seven hundred sixty-four million, nine hundred seventeen thousand, nine hundred twenty".