767904 has 48 divisors (see below), whose sum is σ = 2126880. Its totient is φ = 241920.

The previous prime is 767881. The next prime is 767909. The reversal of 767904 is 409767.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767909) by changing a digit.

767904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 2034.

It is an arithmetic number, because the mean of its divisors is an integer number (44310).

2⁷⁶⁷⁹⁰⁴ 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 767904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063440).

767904 is an abundant number, since it is smaller than the sum of its proper divisors (1358976).

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

767904 is a wasteful number, since it uses less digits than its factorization.

767904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 767904 is about 876.3013180408. The cubic root of 767904 is about 91.5733235311.

The spelling of 767904 in words is "seven hundred sixty-seven thousand, nine hundred four".