78506000 has 80 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 29542400.

The previous prime is 78505997. The next prime is 78506033. The reversal of 78506000 is 60587.

It can be written as a sum of positive squares in 8 ways, for example, as 5779216 + 72726784 = 2404^2 + 8528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 32846 + ... + 35154.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^78506000 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 78506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

78506000 is an abundant number, since it is smaller than the sum of its proper divisors (122574880).

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

78506000 is a wasteful number, since it uses less digits than its factorization.

78506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 78506000 is about 8860.3611664537. The cubic root of 78506000 is about 428.1877942596.

Adding to 78506000 its reverse (60587), we get a palindrome (78566587).

The spelling of 78506000 in words is "seventy-eight million, five hundred six thousand".