68753880 has 256 divisors, whose sum is σ = 254016000. Its totient is φ = 16436736.

The previous prime is 68753851. The next prime is 68753887. The reversal of 68753880 is 8835786.

68753880 = 159³ + 160³ + ... + 173³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68753887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828319 + ... + 828401.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 2^68753880 is an apocalyptic number.

68753880 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 68753880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

68753880 is an abundant number, since it is smaller than the sum of its proper divisors (185262120).

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

68753880 is a wasteful number, since it uses less digits than its factorization.

68753880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 68753880 is about 8291.7959453908. The cubic root of 68753880 is about 409.6683417409.

The spelling of 68753880 in words is "sixty-eight million, seven hundred fifty-three thousand, eight hundred eighty".