78082800 has 120 divisors (see below), whose sum is σ = 258316800. Its totient is φ = 20140800.

The previous prime is 78082793. The next prime is 78082801. The reversal of 78082800 is 828087.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78082801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36151 + ... + 38249.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^78082800 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 78082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129158400).

78082800 is an abundant number, since it is smaller than the sum of its proper divisors (180234000).

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

78082800 is a wasteful number, since it uses less digits than its factorization.

78082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 78082800 is about 8836.4472498850. The cubic root of 78082800 is about 427.4170010887.

The spelling of 78082800 in words is "seventy-eight million, eighty-two thousand, eight hundred".