78678072930240 has 2688 divisors, whose sum is σ = 341689871335680. Its totient is φ = 16973001916416.

The previous prime is 78678072930227. The next prime is 78678072930311. The reversal of 78678072930240 is 4203927087687.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80530268632 + ... + 80530269608.

It is an arithmetic number, because the mean of its divisors is an integer number (127116767610).

Almost surely, 2^{78678072930240} is an apocalyptic number.

78678072930240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78678072930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170844935667840).

78678072930240 is an abundant number, since it is smaller than the sum of its proper divisors (263011798405440).

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

78678072930240 is a wasteful number, since it uses less digits than its factorization.

78678072930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 78678072930240 in words is "seventy-eight trillion, six hundred seventy-eight billion, seventy-two million, nine hundred thirty thousand, two hundred forty".