68790400 has 192 divisors, whose sum is σ = 201862080. Its totient is φ = 22671360.

The previous prime is 68790389. The next prime is 68790433. The reversal of 68790400 is 409786.

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, 828759 + ... + 828841.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 2^68790400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

68790400 is an abundant number, since it is smaller than the sum of its proper divisors (133071680).

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

68790400 is a wasteful number, since it uses less digits than its factorization.

68790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 68790400 is about 8293.9978297562. The cubic root of 68790400 is about 409.7408634161.

The spelling of 68790400 in words is "sixty-eight million, seven hundred ninety thousand, four hundred".