1282764800 has 78 divisors (see below), whose sum is σ = 3181122288. Its totient is φ = 513064960.

The previous prime is 1282764793. The next prime is 1282764817. The reversal of 1282764800 is 84672821.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 96137 + ... + 108663.

Almost surely, 2^1282764800 is an apocalyptic number.

1282764800 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 1282764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590561144).

1282764800 is an abundant number, since it is smaller than the sum of its proper divisors (1898357488).

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

1282764800 is an equidigital number, since it uses as much as digits as its factorization.

1282764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1282764800 is about 35815.7060519544. The cubic root of 1282764800 is about 1086.5482367244.

The spelling of 1282764800 in words is "one billion, two hundred eighty-two million, seven hundred sixty-four thousand, eight hundred".