1278727680 has 320 divisors, whose sum is σ = 4355721216. Its totient is φ = 319488000.

The previous prime is 1278727651. The next prime is 1278727687. The reversal of 1278727680 is 867278721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×1278727680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278727687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9761215 + ... + 9761345.

Almost surely, 2^1278727680 is an apocalyptic number.

1278727680 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 1278727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1278727680 is an abundant number, since it is smaller than the sum of its proper divisors (3076993536).

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

1278727680 is a wasteful number, since it uses less digits than its factorization.

1278727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 1278727680 is about 35759.3020066108. The cubic root of 1278727680 is about 1085.4071765599.

The spelling of 1278727680 in words is "one billion, two hundred seventy-eight million, seven hundred twenty-seven thousand, six hundred eighty".