78341800 has 48 divisors (see below), whose sum is σ = 183961440. Its totient is φ = 31024320.

The previous prime is 78341779. The next prime is 78341803. The reversal of 78341800 is 814387.

It is a happy number.

It is a super-3 number, since 3×78341800³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (78341803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18699 + ... + 22501.

It is an arithmetic number, because the mean of its divisors is an integer number (3832530).

Almost surely, 2^78341800 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 78341800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980720).

78341800 is an abundant number, since it is smaller than the sum of its proper divisors (105619640).

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

78341800 is a wasteful number, since it uses less digits than its factorization.

78341800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 78341800 is about 8851.0903283155. The cubic root of 78341800 is about 427.8890590846.

The spelling of 78341800 in words is "seventy-eight million, three hundred forty-one thousand, eight hundred".