1298764800 has 264 divisors, whose sum is σ = 4771966400. Its totient is φ = 346152960.

The previous prime is 1298764799. The next prime is 1298764811. The reversal of 1298764800 is 84678921.

1298764800 is a `hidden beast` number, since 12 + 98 + 76 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 690261 + ... + 692139.

Almost surely, 2^1298764800 is an apocalyptic number.

1298764800 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 1298764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385983200).

1298764800 is an abundant number, since it is smaller than the sum of its proper divisors (3473201600).

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

1298764800 is a wasteful number, since it uses less digits than its factorization.

1298764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1298764800 is about 36038.3795418162. The cubic root of 1298764800 is about 1091.0471098102.

The spelling of 1298764800 in words is "one billion, two hundred ninety-eight million, seven hundred sixty-four thousand, eight hundred".