1282800 has 60 divisors (see below), whose sum is σ = 4113080. Its totient is φ = 341760.

The previous prime is 1282783. The next prime is 1282807. The reversal of 1282800 is 82821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666 + ... + 1734.

2^1282800 is an apocalyptic number.

1282800 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 1282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056540).

1282800 is an abundant number, since it is smaller than the sum of its proper divisors (2830280).

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

1282800 is a wasteful number, since it uses less digits than its factorization.

With its successor (1282801) it forms an eRAP, since the sums of their prime factors are consecutive (1090 and 1091).

1282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1282800 is about 1132.6076107814. The cubic root of 1282800 is about 108.6558175192.

Adding to 1282800 its sum of digits (21), we get a palindrome (1282821).

The spelling of 1282800 in words is "one million, two hundred eighty-two thousand, eight hundred".