761664 has 28 divisors (see below), whose sum is σ = 2015744. Its totient is φ = 253824.

The previous prime is 761633. The next prime is 761669. The reversal of 761664 is 466167.

761664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761669) by changing a digit.

761664 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, 1792 + ... + 2175.

2⁷⁶¹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

761664 is an abundant number, since it is smaller than the sum of its proper divisors (1254080).

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

761664 is a wasteful number, since it uses less digits than its factorization.

761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3972 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 761664 is about 872.7336363404. The cubic root of 761664 is about 91.3246065270.

The spelling of 761664 in words is "seven hundred sixty-one thousand, six hundred sixty-four".