78042009600 has 585 divisors, whose sum is σ = 292097260587. Its totient is φ = 20596654080.

The previous prime is 78042009559. The next prime is 78042009613. The reversal of 78042009600 is 690024087.

The square root of 78042009600 is 279360.

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

78042009600 is a `hidden beast` number, since 7 + 8 + 0 + 42 + 0 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2869530624 + 75172478976 = 53568^2 + 274176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 804556752 + ... + 804556848.

Almost surely, 2^78042009600 is an apocalyptic number.

78042009600 is the 279360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78042009600

78042009600 is an abundant number, since it is smaller than the sum of its proper divisors (214055250987).

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

78042009600 is an frugal number, since it uses more digits than its factorization.

78042009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 78042009600 by its sum of digits (36), we get a square (2809512345600 = 1676160²).

78042009600 divided by its sum of digits (36) gives a square (2167833600 = 46560²).

The spelling of 78042009600 in words is "seventy-eight billion, forty-two million, nine thousand, six hundred".