78665745600 has 1008 divisors, whose sum is σ = 335853816480. Its totient is φ = 17252352000.

The previous prime is 78665745589. The next prime is 78665745611. The reversal of 78665745600 is 654756687.

78665745600 = 17723² + 17724² + ... + 17969².

78665745600 is a `hidden beast` number, since 7 + 8 + 6 + 6 + 5 + 74 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78665745589) and next prime (78665745611).

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 143 ways as a sum of consecutive naturals, for example, 60464950 + ... + 60466250.

It is an arithmetic number, because the mean of its divisors is an integer number (333188310).

Almost surely, 2^78665745600 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 78665745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167926908240).

78665745600 is an abundant number, since it is smaller than the sum of its proper divisors (257188070880).

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

78665745600 is a wasteful number, since it uses less digits than its factorization.

78665745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 78665745600 in words is "seventy-eight billion, six hundred sixty-five million, seven hundred forty-five thousand, six hundred".