764305152 has 144 divisors (see below), whose sum is σ = 2250934560. Its totient is φ = 228704256.

The previous prime is 764305151. The next prime is 764305169. The reversal of 764305152 is 251503467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764305151) 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, 368374 + ... + 370442.

It is an arithmetic number, because the mean of its divisors is an integer number (15631490).

Almost surely, 2^764305152 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 764305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125467280).

764305152 is an abundant number, since it is smaller than the sum of its proper divisors (1486629408).

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

764305152 is a wasteful number, since it uses less digits than its factorization.

764305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 764305152 is about 27646.0693770380. The cubic root of 764305152 is about 914.3004405366.

The spelling of 764305152 in words is "seven hundred sixty-four million, three hundred five thousand, one hundred fifty-two".