68756800 has 126 divisors (see below), whose sum is σ = 197031102. Its totient is φ = 23546880.

The previous prime is 68756783. The next prime is 68756803. The reversal of 68756800 is 865786.

It can be written as a sum of positive squares in 3 ways, for example, as 12446784 + 56310016 = 3528^2 + 7504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68756803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77962 + ... + 78838.

Almost surely, 2^68756800 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 68756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98515551).

68756800 is an abundant number, since it is smaller than the sum of its proper divisors (128274302).

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

68756800 is a wasteful number, since it uses less digits than its factorization.

68756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 68756800 is about 8291.9720211781. The cubic root of 68756800 is about 409.6741412421.

The spelling of 68756800 in words is "sixty-eight million, seven hundred fifty-six thousand, eight hundred".