80007120 has 60 divisors (see below), whose sum is σ = 268692996. Its totient is φ = 21335040.

The previous prime is 80007107. The next prime is 80007121. The reversal of 80007120 is 2170008.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 43718544 = 6024^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×80007120² = 12802278501388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 80007093 and 80007102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80007121) 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 11 ways as a sum of consecutive naturals, for example, 54841 + ... + 56280.

Almost surely, 2^80007120 is an apocalyptic number.

80007120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80007120 is an abundant number, since it is smaller than the sum of its proper divisors (188685876).

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

80007120 is a wasteful number, since it uses less digits than its factorization.

80007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111140 (or 111131 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 80007120 is about 8944.6699212436. The cubic root of 80007120 is about 430.8997206063.

Adding to 80007120 its reverse (2170008), we get a palindrome (82177128).

The spelling of 80007120 in words is "eighty million, seven thousand, one hundred twenty".