78145600 has 189 divisors, whose sum is σ = 221184597. Its totient is φ = 27156480.

The previous prime is 78145597. The next prime is 78145609. The reversal of 78145600 is 654187.

The square root of 78145600 is 8840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 56911936 + 21233664 = 7544^2 + 4608^2 .

It is a super-2 number, since 2×78145600² = 12213469598720000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78145609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4596792 + ... + 4596808.

Almost surely, 2^78145600 is an apocalyptic number.

78145600 is the 8840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78145600

78145600 is an abundant number, since it is smaller than the sum of its proper divisors (143038997).

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

78145600 is a wasteful number, since it uses less digits than its factorization.

78145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 78145600 is about 427.5315572386.

Adding to 78145600 its reverse (654187), we get a palindrome (78799787).

The spelling of 78145600 in words is "seventy-eight million, one hundred forty-five thousand, six hundred".