1008002880 has 392 divisors, whose sum is σ = 3747897000. Its totient is φ = 257789952.

The previous prime is 1008002837. The next prime is 1008002911. The reversal of 1008002880 is 882008001.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 994519296 = 3672^2 + 31536^2 .

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 55 ways as a sum of consecutive naturals, for example, 6765046 + ... + 6765194.

Almost surely, 2^1008002880 is an apocalyptic number.

1008002880 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 1008002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873948500).

1008002880 is an abundant number, since it is smaller than the sum of its proper divisors (2739894120).

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

1008002880 is an equidigital number, since it uses as much as digits as its factorization.

1008002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1008002880 is about 31749.0610884795. The cubic root of 1008002880 is about 1002.6605419059.

The spelling of 1008002880 in words is "one billion, eight million, two thousand, eight hundred eighty".