78669030400 has 99 divisors (see below), whose sum is σ = 195115235691. Its totient is φ = 31449661440.

The previous prime is 78669030347. The next prime is 78669030403. The reversal of 78669030400 is 403096687.

It is a happy number.

The square root of 78669030400 is 280480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37196522496 + 41472507904 = 192864^2 + 203648^2 .

It is a super-3 number, since 3×78669030400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78669030403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44875924 + ... + 44877676.

Almost surely, 2^78669030400 is an apocalyptic number.

78669030400 is the 280480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78669030400

78669030400 is an abundant number, since it is smaller than the sum of its proper divisors (116446205291).

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

78669030400 is an frugal number, since it uses more digits than its factorization.

78669030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 78669030400 in words is "seventy-eight billion, six hundred sixty-nine million, thirty thousand, four hundred".