1292800 has 60 divisors (see below), whose sum is σ = 3234726. Its totient is φ = 512000.

The previous prime is 1292789. The next prime is 1292801. The reversal of 1292800 is 82921.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 73984 = 1104^2 + 272^2 .

It is not an unprimeable number, because it can be changed into a prime (1292801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12750 + ... + 12850.

2^1292800 is an apocalyptic number.

1292800 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 1292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617363).

1292800 is an abundant number, since it is smaller than the sum of its proper divisors (1941926).

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

1292800 is an equidigital number, since it uses as much as digits as its factorization.

1292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1292800 is about 1137.0136322842. The cubic root of 1292800 is about 108.9374272628.

The spelling of 1292800 in words is "one million, two hundred ninety-two thousand, eight hundred".