76090728 has 96 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 21466368.

The previous prime is 76090717. The next prime is 76090753. The reversal of 76090728 is 82709067.

It is a Cunningham number, because it is equal to 8723²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104301 + ... + 105027.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^76090728 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 76090728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

76090728 is an abundant number, since it is smaller than the sum of its proper divisors (147987672).

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

76090728 is a wasteful number, since it uses less digits than its factorization.

76090728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 76090728 is about 8722.9999426803. Note that the first 4 decimals coincide. The cubic root of 76090728 is about 423.7508474500.

The spelling of 76090728 in words is "seventy-six million, ninety thousand, seven hundred twenty-eight".