1280278800 has 90 divisors (see below), whose sum is σ = 4442935562. Its totient is φ = 341406720.

The previous prime is 1280278799. The next prime is 1280278801. The reversal of 1280278800 is 88720821.

It is an interprime number because it is at equal distance from previous prime (1280278799) and next prime (1280278801).

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 1277919504 = 1536^2 + 35748^2 .

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

It is a super-2 number, since 2×1280278800² = 3278227611458880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1280278801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 174217 + ... + 181416.

Almost surely, 2^1280278800 is an apocalyptic number.

1280278800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1280278800 is an abundant number, since it is smaller than the sum of its proper divisors (3162656762).

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

1280278800 is a wasteful number, since it uses less digits than its factorization.

1280278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355657 (or 355643 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1280278800 is about 35780.9837763022. The cubic root of 1280278800 is about 1085.8458721268.

The spelling of 1280278800 in words is "one billion, two hundred eighty million, two hundred seventy-eight thousand, eight hundred".