80008461 has 12 divisors (see below), whose sum is σ = 124457788. Its totient is φ = 49235904.

The previous prime is 80008447. The next prime is 80008499. The reversal of 80008461 is 16480008.

It can be written as a sum of positive squares in 2 ways, for example, as 15848361 + 64160100 = 3981^2 + 8010^2 .

It is not a de Polignac number, because 80008461 - 2⁷ = 80008333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80008561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341800 + ... + 342033.

Almost surely, 2^80008461 is an apocalyptic number.

It is an amenable number.

80008461 is a deficient number, since it is larger than the sum of its proper divisors (44449327).

80008461 is a wasteful number, since it uses less digits than its factorization.

80008461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683852 (or 683849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80008461 is about 8944.7448817728. The cubic root of 80008461 is about 430.9021280308.

Adding to 80008461 its reverse (16480008), we get a palindrome (96488469).

It can be divided in two parts, 8000 and 8461, that added together give a palindrome (16461).

The spelling of 80008461 in words is "eighty million, eight thousand, four hundred sixty-one".