764513460 has 144 divisors (see below), whose sum is σ = 2465373456. Its totient is φ = 191102976.

The previous prime is 764513459. The next prime is 764513461. The reversal of 764513460 is 64315467.

It is a happy number.

764513460 is a `hidden beast` number, since 7 + 645 + 1 + 3 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (764513459) and next prime (764513461).

It can be written as a sum of positive squares in 8 ways, for example, as 31945104 + 732568356 = 5652^2 + 27066^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764513461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324692 + ... + 1325268.

It is an arithmetic number, because the mean of its divisors is an integer number (17120649).

Almost surely, 2^764513460 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 764513460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232686728).

764513460 is an abundant number, since it is smaller than the sum of its proper divisors (1700859996).

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

764513460 is a wasteful number, since it uses less digits than its factorization.

764513460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 764513460 is about 27649.8365275457. The cubic root of 764513460 is about 914.3834958432.

The spelling of 764513460 in words is "seven hundred sixty-four million, five hundred thirteen thousand, four hundred sixty".