78909304464 has 275 divisors, whose sum is σ = 243661754383. Its totient is φ = 24755860224.

The previous prime is 78909304417. The next prime is 78909304483. The reversal of 78909304464 is 46440390987.

It is a happy number.

The square root of 78909304464 is 280908.

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

78909304464 is a `hidden beast` number, since 7 + 8 + 90 + 93 + 0 + 4 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24489746064 + 54419558400 = 156492^2 + 233280^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78909304464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 4641723784 + ... + 4641723800.

Almost surely, 2^78909304464 is an apocalyptic number.

78909304464 is the 280908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78909304464

78909304464 is an abundant number, since it is smaller than the sum of its proper divisors (164752449919).

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

78909304464 is an frugal number, since it uses more digits than its factorization.

78909304464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 78909304464 in words is "seventy-eight billion, nine hundred nine million, three hundred four thousand, four hundred sixty-four".