10000800 has 144 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 2661120.

The previous prime is 10000799. The next prime is 10000813. The reversal of 10000800 is 800001.

It is a tau number, because it is divible by the number of its divisors (144).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21369 + ... + 21831.

It is an arithmetic number, because the mean of its divisors is an integer number (251720).

Almost surely, 2^10000800 is an apocalyptic number.

10000800 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 10000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

10000800 is an abundant number, since it is smaller than the sum of its proper divisors (26246880).

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

10000800 is a wasteful number, since it uses less digits than its factorization.

10000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

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

The square root of 10000800 is about 3162.4041487451. The cubic root of 10000800 is about 215.4492140092.

Adding to 10000800 its reverse (800001), we get a palindrome (10800801).

It can be divided in two parts, 10000 and 800, that multiplied together give a cube (8000000 = 200³).

The spelling of 10000800 in words is "ten million, eight hundred", and thus it is an aban number.