764688 has 40 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 250624.

The previous prime is 764683. The next prime is 764689. The reversal of 764688 is 886467.

It is a super-3 number, since 3×764688³ = 1341448733322326016, which contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 764688.

It is not an unprimeable number, because it can be changed into a prime (764683) 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, 4183 + ... + 4361.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁷⁶⁴⁶⁸⁸ 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 764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

764688 is an abundant number, since it is smaller than the sum of its proper divisors (1244112).

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

764688 is a wasteful number, since it uses less digits than its factorization.

764688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 764688 is about 874.4644075090. The cubic root of 764688 is about 91.4453075761.

The spelling of 764688 in words is "seven hundred sixty-four thousand, six hundred eighty-eight".