79082766 has 48 divisors (see below), whose sum is σ = 199836000. Its totient is φ = 22593312.

The previous prime is 79082761. The next prime is 79082803. The reversal of 79082766 is 66728097.

It is a happy number.

79082766 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79082761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231 + ... + 12578.

It is an arithmetic number, because the mean of its divisors is an integer number (4163250).

Almost surely, 2^79082766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79082766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99918000).

79082766 is an abundant number, since it is smaller than the sum of its proper divisors (120753234).

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

79082766 is a wasteful number, since it uses less digits than its factorization.

79082766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12838 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 79082766 is about 8892.8491497382. The cubic root of 79082766 is about 429.2338366896.

The spelling of 79082766 in words is "seventy-nine million, eighty-two thousand, seven hundred sixty-six".