761328 has 60 divisors (see below), whose sum is σ = 2263248. Its totient is φ = 238080.

The previous prime is 761297. The next prime is 761347. The reversal of 761328 is 823167.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293 + ... + 2603.

2⁷⁶¹³²⁸ 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 761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131624).

761328 is an abundant number, since it is smaller than the sum of its proper divisors (1501920).

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

761328 is a wasteful number, since it uses less digits than its factorization.

761328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 761328 is about 872.5411165097. The cubic root of 761328 is about 91.3111755912.

It can be divided in two parts, 761 and 328, that added together give a square (1089 = 33²).

The spelling of 761328 in words is "seven hundred sixty-one thousand, three hundred twenty-eight".