78433603600 has 405 divisors, whose sum is σ = 221911103421. Its totient is φ = 26616902400.

The previous prime is 78433603559. The next prime is 78433603649. The reversal of 78433603600 is 630633487.

The square root of 78433603600 is 280060.

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

It can be written as a sum of positive squares in only one way, i.e., 28236097296 + 50197506304 = 168036^2 + 224048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1170650767 + ... + 1170650833.

Almost surely, 2^78433603600 is an apocalyptic number.

78433603600 is the 280060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78433603600

78433603600 is an abundant number, since it is smaller than the sum of its proper divisors (143477499821).

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

78433603600 is a wasteful number, since it uses less digits than its factorization.

78433603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 78433603600 in words is "seventy-eight billion, four hundred thirty-three million, six hundred three thousand, six hundred".