68765400 has 288 divisors, whose sum is σ = 264625920. Its totient is φ = 15840000.

The previous prime is 68765387. The next prime is 68765407. The reversal of 68765400 is 456786.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68765407) 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 71 ways as a sum of consecutive naturals, for example, 455325 + ... + 455475.

It is an arithmetic number, because the mean of its divisors is an integer number (918840).

Almost surely, 2^68765400 is an apocalyptic number.

68765400 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 68765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

68765400 is an abundant number, since it is smaller than the sum of its proper divisors (195860520).

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

68765400 is a wasteful number, since it uses less digits than its factorization.

68765400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68765400 is about 8292.4905788309. The cubic root of 68765400 is about 409.6912210108.

The spelling of 68765400 in words is "sixty-eight million, seven hundred sixty-five thousand, four hundred".