78243600 has 60 divisors (see below), whose sum is σ = 250644176. Its totient is φ = 20864640.

The previous prime is 78243569. The next prime is 78243601. The reversal of 78243600 is 634287.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×78243600² = 12244121881920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78243601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31402 + ... + 33801.

Almost surely, 2^78243600 is an apocalyptic number.

It is an amenable number.

78243600 is an abundant number, since it is smaller than the sum of its proper divisors (172400576).

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

78243600 is a wasteful number, since it uses less digits than its factorization.

78243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65224 (or 65213 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 78243600 is about 8845.5412496918. The cubic root of 78243600 is about 427.7102006531.

Adding to 78243600 its reverse (634287), we get a palindrome (78877887).

The spelling of 78243600 in words is "seventy-eight million, two hundred forty-three thousand, six hundred".