78061800 has 96 divisors (see below), whose sum is σ = 243377280. Its totient is φ = 20697600.

The previous prime is 78061799. The next prime is 78061801. The reversal of 78061800 is 816087.

It is an interprime number because it is at equal distance from previous prime (78061799) and next prime (78061801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78061801) 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 23 ways as a sum of consecutive naturals, for example, 168369 + ... + 168831.

It is an arithmetic number, because the mean of its divisors is an integer number (2535180).

Almost surely, 2^78061800 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 78061800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121688640).

78061800 is an abundant number, since it is smaller than the sum of its proper divisors (165315480).

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

78061800 is a wasteful number, since it uses less digits than its factorization.

78061800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 78061800 is about 8835.2589096189. The cubic root of 78061800 is about 427.3786803924.

Adding to 78061800 its reverse (816087), we get a palindrome (78877887).

The spelling of 78061800 in words is "seventy-eight million, sixty-one thousand, eight hundred".