1286780400 has 180 divisors, whose sum is σ = 4510972440. Its totient is φ = 339648000.

The previous prime is 1286780351. The next prime is 1286780419. The reversal of 1286780400 is 40876821.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361831 + ... + 365369.

It is an arithmetic number, because the mean of its divisors is an integer number (25060958).

Almost surely, 2^1286780400 is an apocalyptic number.

1286780400 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 1286780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255486220).

1286780400 is an abundant number, since it is smaller than the sum of its proper divisors (3224192040).

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

1286780400 is a wasteful number, since it uses less digits than its factorization.

1286780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1286780400 is about 35871.7214529774. The cubic root of 1286780400 is about 1087.6808419037.

The spelling of 1286780400 in words is "one billion, two hundred eighty-six million, seven hundred eighty thousand, four hundred".