763968 has 56 divisors (see below), whose sum is σ = 2121408. Its totient is φ = 242176.

The previous prime is 763967. The next prime is 763999. The reversal of 763968 is 869367.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (763967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4330 + ... + 4502.

2⁷⁶³⁹⁶⁸ 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 763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060704).

763968 is an abundant number, since it is smaller than the sum of its proper divisors (1357440).

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

763968 is a wasteful number, since it uses less digits than its factorization.

763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 763968 is about 874.0526299943. The cubic root of 763968 is about 91.4165981345.

The spelling of 763968 in words is "seven hundred sixty-three thousand, nine hundred sixty-eight".