764134560 has 240 divisors, whose sum is σ = 3082375296. Its totient is φ = 174638592.

The previous prime is 764134529. The next prime is 764134561. The reversal of 764134560 is 65431467.

It is a happy number.

764134560 is a `hidden beast` number, since 7 + 64 + 1 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (764134561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86509 + ... + 94931.

Almost surely, 2^764134560 is an apocalyptic number.

764134560 is a gapful number since it is divisible by the number (70) 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 764134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541187648).

764134560 is an abundant number, since it is smaller than the sum of its proper divisors (2318240736).

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

764134560 is a wasteful number, since it uses less digits than its factorization.

764134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8440 counting only the distinct ones).

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

The square root of 764134560 is about 27642.9839199751. The cubic root of 764134560 is about 914.2324118851.

The spelling of 764134560 in words is "seven hundred sixty-four million, one hundred thirty-four thousand, five hundred sixty".