764160 has 72 divisors (see below), whose sum is σ = 2452800. Its totient is φ = 202752.

The previous prime is 764149. The next prime is 764171. The reversal of 764160 is 61467.

It is an interprime number because it is at equal distance from previous prime (764149) and next prime (764171).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 764160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3741 + ... + 3939.

2⁷⁶⁴¹⁶⁰ 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 764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226400).

764160 is an abundant number, since it is smaller than the sum of its proper divisors (1688640).

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

764160 is a wasteful number, since it uses less digits than its factorization.

764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 764160 is about 874.1624562975. The cubic root of 764160 is about 91.4242557487.

The spelling of 764160 in words is "seven hundred sixty-four thousand, one hundred sixty".