78327000 has 160 divisors (see below), whose sum is σ = 274079520. Its totient is φ = 20865600.

The previous prime is 78326993. The next prime is 78327001. The reversal of 78327000 is 72387.

It is a super-2 number, since 2×78327000² = 12270237858000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78327001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 80517 + ... + 81483.

It is an arithmetic number, because the mean of its divisors is an integer number (1712997).

Almost surely, 2^78327000 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 78327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137039760).

78327000 is an abundant number, since it is smaller than the sum of its proper divisors (195752520).

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

78327000 is a wasteful number, since it uses less digits than its factorization.

78327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 78327000 is about 8850.2542336365. The cubic root of 78327000 is about 427.8621123933.

Adding to 78327000 its reverse (72387), we get a palindrome (78399387).

The spelling of 78327000 in words is "seventy-eight million, three hundred twenty-seven thousand".