764000 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 304000.

The previous prime is 763999. The next prime is 764003. The reversal of 764000 is 467.

It is a nialpdrome in base 10 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 764000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3905 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁷⁶⁴⁰⁰⁰ 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 764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

764000 is an abundant number, since it is smaller than the sum of its proper divisors (1122976).

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

764000 is a wasteful number, since it uses less digits than its factorization.

764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 764000 is about 874.0709353365. The cubic root of 764000 is about 91.4178744926.

Adding to 764000 its reverse (467), we get a palindrome (764467).

The spelling of 764000 in words is "seven hundred sixty-four thousand".