68725800 has 384 divisors, whose sum is σ = 281232000. Its totient is φ = 15206400.

The previous prime is 68725763. The next prime is 68725801. The reversal of 68725800 is 852786.

68725800 is a `hidden beast` number, since 6 + 8 + 72 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68725801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772156 + ... + 772244.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^68725800 is an apocalyptic number.

68725800 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 68725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

68725800 is an abundant number, since it is smaller than the sum of its proper divisors (212506200).

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

68725800 is a wasteful number, since it uses less digits than its factorization.

68725800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68725800 is about 8290.1025325384. The cubic root of 68725800 is about 409.6125628115.

The spelling of 68725800 in words is "sixty-eight million, seven hundred twenty-five thousand, eight hundred".