68774400 has 240 divisors, whose sum is σ = 253704000. Its totient is φ = 18247680.

The previous prime is 68774383. The next prime is 68774413. The reversal of 68774400 is 447786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345501 + ... + 345699.

It is an arithmetic number, because the mean of its divisors is an integer number (1057100).

Almost surely, 2^68774400 is an apocalyptic number.

68774400 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 68774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126852000).

68774400 is an abundant number, since it is smaller than the sum of its proper divisors (184929600).

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

68774400 is a wasteful number, since it uses less digits than its factorization.

68774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 68774400 is about 8293.0332207221. The cubic root of 68774400 is about 409.7090936626.

The spelling of 68774400 in words is "sixty-eight million, seven hundred seventy-four thousand, four hundred".