1008352800 has 1008 divisors, whose sum is σ = 4781568960. Its totient is φ = 201553920.

The previous prime is 1008352777. The next prime is 1008352801. The reversal of 1008352800 is 82538001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008352801) 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 167 ways as a sum of consecutive naturals, for example, 53071191 + ... + 53071209.

It is an arithmetic number, because the mean of its divisors is an integer number (4743620).

Almost surely, 2^1008352800 is an apocalyptic number.

1008352800 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 1008352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390784480).

1008352800 is an abundant number, since it is smaller than the sum of its proper divisors (3773216160).

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

1008352800 is a wasteful number, since it uses less digits than its factorization.

1008352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1008352800 is about 31754.5713244566. The cubic root of 1008352800 is about 1002.7765503001.

The spelling of 1008352800 in words is "one billion, eight million, three hundred fifty-two thousand, eight hundred".