76302016 has 84 divisors (see below), whose sum is σ = 182422800. Its totient is φ = 31535616.

The previous prime is 76301993. The next prime is 76302047. The reversal of 76302016 is 61020367.

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, 90525 + ... + 91363.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^76302016 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 76302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91211400).

76302016 is an abundant number, since it is smaller than the sum of its proper divisors (106120784).

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

76302016 is a wasteful number, since it uses less digits than its factorization.

76302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 76302016 is about 8735.1025180017. The cubic root of 76302016 is about 424.1427073920.

The spelling of 76302016 in words is "seventy-six million, three hundred two thousand, sixteen".