76723328 has 64 divisors (see below), whose sum is σ = 172584000. Its totient is φ = 33653760.

The previous prime is 76723321. The next prime is 76723343. The reversal of 76723328 is 82332767.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 76723291 and 76723300.

It is not an unprimeable number, because it can be changed into a prime (76723321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39893 + ... + 41771.

It is an arithmetic number, because the mean of its divisors is an integer number (2696625).

Almost surely, 2^76723328 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 76723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86292000).

76723328 is an abundant number, since it is smaller than the sum of its proper divisors (95860672).

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

76723328 is a wasteful number, since it uses less digits than its factorization.

76723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1921 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 76723328 is about 8759.1853502480. The cubic root of 76723328 is about 424.9219289121.

The spelling of 76723328 in words is "seventy-six million, seven hundred twenty-three thousand, three hundred twenty-eight".