1326780000 has 840 divisors, whose sum is σ = 6023234448. Its totient is φ = 279936000.

The previous prime is 1326779969. The next prime is 1326780017. The reversal of 1326780000 is 876231.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 102059994 + ... + 102060006.

Almost surely, 2^1326780000 is an apocalyptic number.

1326780000 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 1326780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011617224).

1326780000 is an abundant number, since it is smaller than the sum of its proper divisors (4696454448).

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

1326780000 is an frugal number, since it uses more digits than its factorization.

1326780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1326780000 is about 36424.9914207265. The cubic root of 1326780000 is about 1098.8362347721.

The spelling of 1326780000 in words is "one billion, three hundred twenty-six million, seven hundred eighty thousand".