1270800 has 90 divisors (see below), whose sum is σ = 4422522. Its totient is φ = 337920.

The previous prime is 1270771. The next prime is 1270817. The reversal of 1270800 is 80721.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 1218816 = 228^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1270800² = 3229865280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3424 + ... + 3776.

2^1270800 is an apocalyptic number.

1270800 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 1270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211261).

1270800 is an abundant number, since it is smaller than the sum of its proper divisors (3151722).

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

1270800 is a wasteful number, since it uses less digits than its factorization.

1270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1270800 is about 1127.2976536834. The cubic root of 1270800 is about 108.3159472428.

The spelling of 1270800 in words is "one million, two hundred seventy thousand, eight hundred".