1282780800 has 720 divisors, whose sum is σ = 5561120070. Its totient is φ = 290304000.

The previous prime is 1282780799. The next prime is 1282780819. The reversal of 1282780800 is 80872821.

It can be written as a sum of positive squares in 3 ways, for example, as 1209370176 + 73410624 = 34776^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700750 + ... + 12700850.

Almost surely, 2^1282780800 is an apocalyptic number.

1282780800 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 1282780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780560035).

1282780800 is an abundant number, since it is smaller than the sum of its proper divisors (4278339270).

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

1282780800 is a wasteful number, since it uses less digits than its factorization.

1282780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

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

The square root of 1282780800 is about 35815.9294169508. The cubic root of 1282780800 is about 1086.5527542320.

The spelling of 1282780800 in words is "one billion, two hundred eighty-two million, seven hundred eighty thousand, eight hundred".