68780307600 has 675 divisors, whose sum is σ = 260609093481. Its totient is φ = 17372102400.

The previous prime is 68780307593. The next prime is 68780307613. The reversal of 68780307600 is 670308786.

The square root of 68780307600 is 262260.

It is a perfect power (a square), and thus also a powerful number.

68780307600 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 0 + 30 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24760910736 + 44019396864 = 157356^2 + 209808^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1463410777 + ... + 1463410823.

Almost surely, 2^68780307600 is an apocalyptic number.

68780307600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68780307600 is the 262260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68780307600

68780307600 is an abundant number, since it is smaller than the sum of its proper divisors (191828785881).

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

68780307600 is a wasteful number, since it uses less digits than its factorization.

68780307600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 68780307600 in words is "sixty-eight billion, seven hundred eighty million, three hundred seven thousand, six hundred".