76180728 has 128 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 21772800.

The previous prime is 76180717. The next prime is 76180729. The reversal of 76180728 is 82708167.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76180729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420798 + ... + 420978.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^76180728 is an apocalyptic number.

76180728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76180728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

76180728 is an abundant number, since it is smaller than the sum of its proper divisors (143966472).

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

76180728 is a wasteful number, since it uses less digits than its factorization.

76180728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 76180728 is about 8728.1571938182. The cubic root of 76180728 is about 423.9178522472.

The spelling of 76180728 in words is "seventy-six million, one hundred eighty thousand, seven hundred twenty-eight".