1012800 has 84 divisors (see below), whose sum is σ = 3338576. Its totient is φ = 268800.

The previous prime is 1012789. The next prime is 1012811. The reversal of 1012800 is 82101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012789) and next prime (1012811).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4695 + ... + 4905.

2^1012800 is an apocalyptic number.

1012800 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 1012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669288).

1012800 is an abundant number, since it is smaller than the sum of its proper divisors (2325776).

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

1012800 is a wasteful number, since it uses less digits than its factorization.

1012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012800 is about 1006.3796500327. The cubic root of 1012800 is about 100.4248590582.

Adding to 1012800 its reverse (82101), we get a palindrome (1094901).

The spelling of 1012800 in words is "one million, twelve thousand, eight hundred".