10007080 has 32 divisors (see below), whose sum is σ = 22748040. Its totient is φ = 3961600.

The previous prime is 10007077. The next prime is 10007083. The reversal of 10007080 is 8070001.

It is an interprime number because it is at equal distance from previous prime (10007077) and next prime (10007083).

It can be written as a sum of positive squares in 4 ways, for example, as 9721924 + 285156 = 3118^2 + 534^2 .

It is not an unprimeable number, because it can be changed into a prime (10007083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2802 + ... + 5278.

Almost surely, 2^10007080 is an apocalyptic number.

10007080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007080 is an abundant number, since it is smaller than the sum of its proper divisors (12740960).

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

10007080 is a wasteful number, since it uses less digits than its factorization.

10007080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10007080 is about 3163.3969083882. The cubic root of 10007080 is about 215.4943016673.

Adding to 10007080 its reverse (8070001), we get a palindrome (18077081).

The spelling of 10007080 in words is "ten million, seven thousand, eighty".