78568600 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 28112000.

The previous prime is 78568597. The next prime is 78568603. The reversal of 78568600 is 686587.

It is an interprime number because it is at equal distance from previous prime (78568597) and next prime (78568603).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78568603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155949 + ... + 156451.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^78568600 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 78568600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

78568600 is an abundant number, since it is smaller than the sum of its proper divisors (123918440).

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

78568600 is a wasteful number, since it uses less digits than its factorization.

78568600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 78568600 is about 8863.8930498963. The cubic root of 78568600 is about 428.3015750938.

The spelling of 78568600 in words is "seventy-eight million, five hundred sixty-eight thousand, six hundred".