8078165821440 has 2400 divisors, whose sum is σ = 35322879271680. Its totient is φ = 1749388492800.

The previous prime is 8078165821433. The next prime is 8078165821483. The reversal of 8078165821440 is 441285618708.

8078165821440 is a `hidden beast` number, since 8 + 0 + 7 + 8 + 1 + 6 + 582 + 14 + 40 = 666.

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 199 ways as a sum of consecutive naturals, for example, 260585994225 + ... + 260585994255.

Almost surely, 2^{8078165821440} is an apocalyptic number.

8078165821440 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 8078165821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661439635840).

8078165821440 is an abundant number, since it is smaller than the sum of its proper divisors (27244713450240).

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

8078165821440 is an equidigital number, since it uses as much as digits as its factorization.

8078165821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 8078165821440 in words is "eight trillion, seventy-eight billion, one hundred sixty-five million, eight hundred twenty-one thousand, four hundred forty".