8078074583040 has 3456 divisors, whose sum is σ = 38906284435200. Its totient is φ = 1585199185920.

The previous prime is 8078074583039. The next prime is 8078074583099. The reversal of 8078074583040 is 403854708708.

It is a happy number.

8078074583040 is a `hidden beast` number, since 80 + 7 + 80 + 7 + 458 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25482884962 + ... + 25482885278.

It is an arithmetic number, because the mean of its divisors is an integer number (11257605450).

Almost surely, 2^{8078074583040} is an apocalyptic number.

8078074583040 is a gapful number since it is divisible by the number (80) 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 8078074583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453142217600).

8078074583040 is an abundant number, since it is smaller than the sum of its proper divisors (30828209852160).

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

8078074583040 is a wasteful number, since it uses less digits than its factorization.

8078074583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 8078074583040 in words is "eight trillion, seventy-eight billion, seventy-four million, five hundred eighty-three thousand, forty".