8078026320 has 1200 divisors, whose sum is σ = 37356359040. Its totient is φ = 1598994432.

The previous prime is 8078026309. The next prime is 8078026337. The reversal of 8078026320 is 236208708.

It is a happy number.

It is a super-2 number, since 2×8078026320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78427389 + ... + 78427491.

Almost surely, 2^8078026320 is an apocalyptic number.

8078026320 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 8078026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678179520).

8078026320 is an abundant number, since it is smaller than the sum of its proper divisors (29278332720).

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

8078026320 is a wasteful number, since it uses less digits than its factorization.

8078026320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8078026320 is about 89877.8410955670. The cubic root of 8078026320 is about 2006.4811678777.

The spelling of 8078026320 in words is "eight billion, seventy-eight million, twenty-six thousand, three hundred twenty".