68778600 has 192 divisors, whose sum is σ = 246680640. Its totient is φ = 15667200.

The previous prime is 68778599. The next prime is 68778641. The reversal of 68778600 is 687786.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111894 + ... + 112506.

It is an arithmetic number, because the mean of its divisors is an integer number (1284795).

Almost surely, 2^68778600 is an apocalyptic number.

68778600 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 68778600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123340320).

68778600 is an abundant number, since it is smaller than the sum of its proper divisors (177902040).

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

68778600 is a wasteful number, since it uses less digits than its factorization.

68778600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 68778600 is about 8293.2864414537. The cubic root of 68778600 is about 409.7174336998.

Multiplying 68778600 by its reverse (687786), we get a square (47304958179600 = 6877860²).

68778600 divided by its reverse (687786) gives a square (100 = 10²).

It can be divided in two parts, 68778 and 600, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 68778600 in words is "sixty-eight million, seven hundred seventy-eight thousand, six hundred".