1284878700 has 720 divisors, whose sum is σ = 5323659264. Its totient is φ = 261273600.

The previous prime is 1284878677. The next prime is 1284878711. The reversal of 1284878700 is 78784821.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29880879 + ... + 29880921.

Almost surely, 2^1284878700 is an apocalyptic number.

1284878700 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 1284878700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661829632).

1284878700 is an abundant number, since it is smaller than the sum of its proper divisors (4038780564).

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

1284878700 is a wasteful number, since it uses less digits than its factorization.

1284878700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 1284878700 is about 35845.2047002106. The cubic root of 1284878700 is about 1087.1447591189.

The spelling of 1284878700 in words is "one billion, two hundred eighty-four million, eight hundred seventy-eight thousand, seven hundred".