68076800 has 108 divisors (see below), whose sum is σ = 184009056. Its totient is φ = 24729600.

The previous prime is 68076797. The next prime is 68076809. The reversal of 68076800 is 867086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68076809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69917 + ... + 70883.

Almost surely, 2^68076800 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 68076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92004528).

68076800 is an abundant number, since it is smaller than the sum of its proper divisors (115932256).

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

68076800 is a wasteful number, since it uses less digits than its factorization.

68076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 68076800 is about 8250.8666211496. The cubic root of 68076800 is about 408.3191146884.

The spelling of 68076800 in words is "sixty-eight million, seventy-six thousand, eight hundred".