1278380000 has 120 divisors (see below), whose sum is σ = 3223780560. Its totient is φ = 498560000.

The previous prime is 1278379967. The next prime is 1278380029. The reversal of 1278380000 is 838721.

It is a super-3 number, since 3×1278380000³ (a number of 28 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 819221 + ... + 820779.

It is an arithmetic number, because the mean of its divisors is an integer number (26864838).

Almost surely, 2^1278380000 is an apocalyptic number.

1278380000 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 1278380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611890280).

1278380000 is an abundant number, since it is smaller than the sum of its proper divisors (1945400560).

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

1278380000 is an equidigital number, since it uses as much as digits as its factorization.

1278380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1278380000 is about 35754.4402836906. The cubic root of 1278380000 is about 1085.3087952860.

The spelling of 1278380000 in words is "one billion, two hundred seventy-eight million, three hundred eighty thousand".