788078622240 has 768 divisors, whose sum is σ = 3504364093440. Its totient is φ = 160909701120.

The previous prime is 788078622181. The next prime is 788078622259. The reversal of 788078622240 is 42226870887.

788078622240 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 7 + 8 + 622 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12154387 + ... + 12219053.

It is an arithmetic number, because the mean of its divisors is an integer number (4562974080).

Almost surely, 2^788078622240 is an apocalyptic number.

788078622240 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 788078622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752182046720).

788078622240 is an abundant number, since it is smaller than the sum of its proper divisors (2716285471200).

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

788078622240 is a wasteful number, since it uses less digits than its factorization.

788078622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64742 (or 64728 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 788078622240 in words is "seven hundred eighty-eight billion, seventy-eight million, six hundred twenty-two thousand, two hundred forty".