80208720 has 120 divisors (see below), whose sum is σ = 285256296. Its totient is φ = 20127744.

The previous prime is 80208719. The next prime is 80208721. The reversal of 80208720 is 2780208.

It is an interprime number because it is at equal distance from previous prime (80208719) and next prime (80208721).

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 68757264 = 3384^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80208721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8964 + ... + 15516.

Almost surely, 2^80208720 is an apocalyptic number.

80208720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142628148).

80208720 is an abundant number, since it is smaller than the sum of its proper divisors (205047576).

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

80208720 is a wasteful number, since it uses less digits than its factorization.

80208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80208720 is about 8955.9321122929. The cubic root of 80208720 is about 431.2613405965.

Adding to 80208720 its reverse (2780208), we get a palindrome (82988928).

The spelling of 80208720 in words is "eighty million, two hundred eight thousand, seven hundred twenty".