68077800 has 192 divisors, whose sum is σ = 268137600. Its totient is φ = 15552000.

The previous prime is 68077777. The next prime is 68077837. The reversal of 68077800 is 877086.

It is a happy number.

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

It is a zygodrome in base 5.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36900 + ... + 38700.

It is an arithmetic number, because the mean of its divisors is an integer number (1396550).

Almost surely, 2^68077800 is an apocalyptic number.

68077800 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 68077800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134068800).

68077800 is an abundant number, since it is smaller than the sum of its proper divisors (200059800).

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

68077800 is a wasteful number, since it uses less digits than its factorization.

68077800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 68077800 is about 8250.9272206219. The cubic root of 68077800 is about 408.3211139848.

The spelling of 68077800 in words is "sixty-eight million, seventy-seven thousand, eight hundred".