68976800 has 72 divisors (see below), whose sum is σ = 169801632. Its totient is φ = 27360000.

The previous prime is 68976781. The next prime is 68976811. The reversal of 68976800 is 867986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120515 + ... + 121085.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2^68976800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

68976800 is an abundant number, since it is smaller than the sum of its proper divisors (100824832).

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

68976800 is a wasteful number, since it uses less digits than its factorization.

68976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 68976800 is about 8305.2272696176. The cubic root of 68976800 is about 410.1106185758.

The spelling of 68976800 in words is "sixty-eight million, nine hundred seventy-six thousand, eight hundred".