764288 has 32 divisors (see below), whose sum is σ = 1742160. Its totient is φ = 327168.

The previous prime is 764273. The next prime is 764293. The reversal of 764288 is 882467.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×764288² = 1168272293888, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

764288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 1322.

2⁷⁶⁴²⁸⁸ 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 764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871080).

764288 is an abundant number, since it is smaller than the sum of its proper divisors (977872).

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

764288 is an equidigital number, since it uses as much as digits as its factorization.

764288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 764288 is about 874.2356661679. The cubic root of 764288 is about 91.4293601122.

The spelling of 764288 in words is "seven hundred sixty-four thousand, two hundred eighty-eight".