68779200 has 336 divisors, whose sum is σ = 272125440. Its totient is φ = 14868480.

The previous prime is 68779187. The next prime is 68779219. The reversal of 68779200 is 297786.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 772756 + ... + 772844.

Almost surely, 2^68779200 is an apocalyptic number.

68779200 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 68779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

68779200 is an abundant number, since it is smaller than the sum of its proper divisors (203346240).

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

68779200 is a wasteful number, since it uses less digits than its factorization.

68779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 68779200 is about 8293.3226152128. The cubic root of 68779200 is about 409.7186251059.

The spelling of 68779200 in words is "sixty-eight million, seven hundred seventy-nine thousand, two hundred".