78580277994240 has 1728 divisors, whose sum is σ = 317352227512320. Its totient is φ = 17751674880000.

The previous prime is 78580277994233. The next prime is 78580277994263. The reversal of 78580277994240 is 4249977208587.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54155945515 + ... + 54155946965.

It is an arithmetic number, because the mean of its divisors is an integer number (183652909440).

Almost surely, 2^{78580277994240} 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 78580277994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158676113756160).

78580277994240 is an abundant number, since it is smaller than the sum of its proper divisors (238771949518080).

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

78580277994240 is a wasteful number, since it uses less digits than its factorization.

78580277994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 78580277994240 in words is "seventy-eight trillion, five hundred eighty billion, two hundred seventy-seven million, nine hundred ninety-four thousand, two hundred forty".