78545667600 has 405 divisors, whose sum is σ = 284690121703. Its totient is φ = 20824439040.

The previous prime is 78545667587. The next prime is 78545667601. The reversal of 78545667600 is 676654587.

The square root of 78545667600 is 280260.

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

78545667600 is a `hidden beast` number, since 7 + 8 + 5 + 4 + 566 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8646768144 + 69898899456 = 92988^2 + 264384^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78545667601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 454021114 + ... + 454021286.

Almost surely, 2^78545667600 is an apocalyptic number.

78545667600 is the 280260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78545667600

78545667600 is an abundant number, since it is smaller than the sum of its proper divisors (206144454103).

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

78545667600 is an frugal number, since it uses more digits than its factorization.

78545667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 183 counting only the distinct ones).

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

The spelling of 78545667600 in words is "seventy-eight billion, five hundred forty-five million, six hundred sixty-seven thousand, six hundred".