78306000 has 160 divisors (see below), whose sum is σ = 261221376. Its totient is φ = 20160000.

The previous prime is 78305999. The next prime is 78306001. The reversal of 78306000 is 60387.

It is an interprime number because it is at equal distance from previous prime (78305999) and next prime (78306001).

It is a super-2 number, since 2×78306000² = 12263659272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78306001) 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 31 ways as a sum of consecutive naturals, for example, 185790 + ... + 186210.

Almost surely, 2^78306000 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 78306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130610688).

78306000 is an abundant number, since it is smaller than the sum of its proper divisors (182915376).

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

78306000 is a wasteful number, since it uses less digits than its factorization.

78306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 78306000 is about 8849.0677475088. The cubic root of 78306000 is about 427.8238713973.

Adding to 78306000 its reverse (60387), we get a palindrome (78366387).

The spelling of 78306000 in words is "seventy-eight million, three hundred six thousand".