78764718240 has 288 divisors, whose sum is σ = 306488656656. Its totient is φ = 18247680000.

The previous prime is 78764718181. The next prime is 78764718251. The reversal of 78764718240 is 4281746787.

It can be written as a sum of positive squares in 8 ways, for example, as 26873700624 + 51891017616 = 163932^2 + 227796^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194490 + ... + 441990.

Almost surely, 2^78764718240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78764718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153244328328).

78764718240 is an abundant number, since it is smaller than the sum of its proper divisors (227723938416).

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

78764718240 is a wasteful number, since it uses less digits than its factorization.

78764718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247552 (or 247541 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 78764718240 in words is "seventy-eight billion, seven hundred sixty-four million, seven hundred eighteen thousand, two hundred forty".