78327600 has 120 divisors (see below), whose sum is σ = 270263952. Its totient is φ = 19276800.

The previous prime is 78327583. The next prime is 78327643. The reversal of 78327600 is 672387.

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

It is a super-2 number, since 2×78327600² = 12270425843520000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13090 + ... + 18110.

Almost surely, 2^78327600 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 78327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135131976).

78327600 is an abundant number, since it is smaller than the sum of its proper divisors (191936352).

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

78327600 is a wasteful number, since it uses less digits than its factorization.

78327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 78327600 is about 8850.2881309029. The cubic root of 78327600 is about 427.8632048927.

Adding to 78327600 its reverse (672387), we get a palindrome (78999987).

The spelling of 78327600 in words is "seventy-eight million, three hundred twenty-seven thousand, six hundred".