1008278880 has 288 divisors, whose sum is σ = 3731422464. Its totient is φ = 228178944.

The previous prime is 1008278867. The next prime is 1008278893. The reversal of 1008278880 is 888728001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1008278867) and next prime (1008278893).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 3833629 + ... + 3833891.

It is an arithmetic number, because the mean of its divisors is an integer number (12956328).

Almost surely, 2^1008278880 is an apocalyptic number.

1008278880 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 1008278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865711232).

1008278880 is an abundant number, since it is smaller than the sum of its proper divisors (2723143584).

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

1008278880 is a wasteful number, since it uses less digits than its factorization.

1008278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 1008278880 is about 31753.4073762171. The cubic root of 1008278880 is about 1002.7520459619.

The spelling of 1008278880 in words is "one billion, eight million, two hundred seventy-eight thousand, eight hundred eighty".