761443328 has 132 divisors (see below), whose sum is σ = 1689217152. Its totient is φ = 342589440.

The previous prime is 761443303. The next prime is 761443337. The reversal of 761443328 is 823344167.

Its product of digits (96768) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 761443291 and 761443300.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 9173975 + ... + 9174057.

Almost surely, 2^761443328 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 761443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844608576).

761443328 is an abundant number, since it is smaller than the sum of its proper divisors (927773824).

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

761443328 is a wasteful number, since it uses less digits than its factorization.

761443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 761443328 is about 27594.2625920679. The cubic root of 761443328 is about 913.1578604532.

The spelling of 761443328 in words is "seven hundred sixty-one million, four hundred forty-three thousand, three hundred twenty-eight".