763728 has 40 divisors (see below), whose sum is σ = 2255808. Its totient is φ = 218112.

The previous prime is 763699. The next prime is 763739. The reversal of 763728 is 827367.

763728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

763728 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 7 ways as a sum of consecutive naturals, for example, 801 + ... + 1472.

2⁷⁶³⁷²⁸ is an apocalyptic number.

It is an amenable number.

763728 is an abundant number, since it is smaller than the sum of its proper divisors (1492080).

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

763728 is a wasteful number, since it uses less digits than its factorization.

763728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 763728 is about 873.9153277063. The cubic root of 763728 is about 91.4070243122.

The spelling of 763728 in words is "seven hundred sixty-three thousand, seven hundred twenty-eight".