78108800 has 192 divisors, whose sum is σ = 241323840. Its totient is φ = 24268800.

The previous prime is 78108799. The next prime is 78108817. The reversal of 78108800 is 880187.

It is a super-2 number, since 2×78108800² = 12201969274880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 246242 + ... + 246558.

It is an arithmetic number, because the mean of its divisors is an integer number (1256895).

Almost surely, 2^78108800 is an apocalyptic number.

78108800 is a gapful number since it is divisible by the number (70) 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 78108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661920).

78108800 is an abundant number, since it is smaller than the sum of its proper divisors (163215040).

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

78108800 is a wasteful number, since it uses less digits than its factorization.

78108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 78108800 is about 8837.9183069318. The cubic root of 78108800 is about 427.4644362422.

Adding to 78108800 its reverse (880187), we get a palindrome (78988987).

The spelling of 78108800 in words is "seventy-eight million, one hundred eight thousand, eight hundred".