761728 has 32 divisors (see below), whose sum is σ = 1658520. Its totient is φ = 345600.

The previous prime is 761713. The next prime is 761731. The reversal of 761728 is 827167.

It is a happy number.

761728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 761728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1138 + ... + 1678.

2⁷⁶¹⁷²⁸ 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 761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829260).

761728 is an abundant number, since it is smaller than the sum of its proper divisors (896792).

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

761728 is a wasteful number, since it uses less digits than its factorization.

761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 761728 is about 872.7703019695. The cubic root of 761728 is about 91.3271643527.

It can be divided in two parts, 76 and 1728, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 761728 in words is "seven hundred sixty-one thousand, seven hundred twenty-eight".