78682800 has 480 divisors, whose sum is σ = 332121600. Its totient is φ = 15482880.

The previous prime is 78682789. The next prime is 78682837. The reversal of 78682800 is 828687.

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 95 ways as a sum of consecutive naturals, for example, 2713186 + ... + 2713214.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^78682800 is an apocalyptic number.

78682800 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 78682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

78682800 is an abundant number, since it is smaller than the sum of its proper divisors (253438800).

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

78682800 is a wasteful number, since it uses less digits than its factorization.

78682800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 78682800 is about 8870.3325755013. The cubic root of 78682800 is about 428.5089877285.

The spelling of 78682800 in words is "seventy-eight million, six hundred eighty-two thousand, eight hundred".