1278842880 has 384 divisors, whose sum is σ = 4937587200. Its totient is φ = 276037632.

The previous prime is 1278842843. The next prime is 1278842891. The reversal of 1278842880 is 882488721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1278842880² = 3270878223453388800, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085604 + ... + 4085916.

It is an arithmetic number, because the mean of its divisors is an integer number (12858300).

Almost surely, 2^1278842880 is an apocalyptic number.

1278842880 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 1278842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468793600).

1278842880 is an abundant number, since it is smaller than the sum of its proper divisors (3658744320).

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

1278842880 is a wasteful number, since it uses less digits than its factorization.

1278842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 1278842880 is about 35760.9127400294. The cubic root of 1278842880 is about 1085.4397701955.

The spelling of 1278842880 in words is "one billion, two hundred seventy-eight million, eight hundred forty-two thousand, eight hundred eighty".