68400300 has 144 divisors (see below), whose sum is σ = 208236672. Its totient is φ = 17318400.

The previous prime is 68400289. The next prime is 68400301. The reversal of 68400300 is 300486.

It is not an unprimeable number, because it can be changed into a prime (68400301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824059 + ... + 824141.

It is an arithmetic number, because the mean of its divisors is an integer number (1446088).

Almost surely, 2^68400300 is an apocalyptic number.

68400300 is a gapful number since it is divisible by the number (60) 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 68400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104118336).

68400300 is an abundant number, since it is smaller than the sum of its proper divisors (139836372).

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

68400300 is a wasteful number, since it uses less digits than its factorization.

68400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 68400300 is about 8270.4473881405. The cubic root of 68400300 is about 408.9648684661.

Adding to 68400300 its reverse (300486), we get a palindrome (68700786).

The spelling of 68400300 in words is "sixty-eight million, four hundred thousand, three hundred".