766182401 has 16 divisors (see below), whose sum is σ = 819265104. Its totient is φ = 714031104.

The previous prime is 766182397. The next prime is 766182409. The reversal of 766182401 is 104281667.

It is a Cunningham number, because it is equal to 27680²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 58675600 + 707506801 = 7660^2 + 26599^2 .

It is a cyclic number.

It is not a de Polignac number, because 766182401 - 2² = 766182397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766182409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960935 + ... + 961731.

It is an arithmetic number, because the mean of its divisors is an integer number (51204069).

Almost surely, 2^766182401 is an apocalyptic number.

It is an amenable number.

766182401 is a deficient number, since it is larger than the sum of its proper divisors (53082703).

766182401 is a wasteful number, since it uses less digits than its factorization.

766182401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 766182401 is about 27680.0000180636. Note that the first 4 decimals coincide. The cubic root of 766182401 is about 915.0483818863.

The spelling of 766182401 in words is "seven hundred sixty-six million, one hundred eighty-two thousand, four hundred one".