10000080 has 240 divisors, whose sum is σ = 38301120. Its totient is φ = 2322432.

The previous prime is 10000079. The next prime is 10000103. The reversal of 10000080 is 8000001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232539 + ... + 232581.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^10000080 is an apocalyptic number.

10000080 is a gapful number since it is divisible by the number (10) 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 10000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

10000080 is an abundant number, since it is smaller than the sum of its proper divisors (28301040).

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

10000080 is a wasteful number, since it uses less digits than its factorization.

10000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10000080 is about 3162.2903092537. The cubic root of 10000080 is about 215.4440435176. Note that the first 3 decimals are identical.

Adding to 10000080 its reverse (8000001), we get a palindrome (18000081).

It can be divided in two parts, 100000 and 80, that multiplied together give a cube (8000000 = 200³).

The spelling of 10000080 in words is "ten million, eighty", and thus it is an aban number and an uban number.