8073051840 has 336 divisors, whose sum is σ = 33131455200. Its totient is φ = 1845172224.

The previous prime is 8073051839. The next prime is 8073051841. The reversal of 8073051840 is 481503708.

It is an interprime number because it is at equal distance from previous prime (8073051839) and next prime (8073051841).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8073051840² (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 junction number, because it is equal to n+sod(n) for n = 8073051795 and 8073051804.

It is not an unprimeable number, because it can be changed into a prime (8073051841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413826 + ... + 432894.

Almost surely, 2^8073051840 is an apocalyptic number.

8073051840 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 8073051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565727600).

8073051840 is an abundant number, since it is smaller than the sum of its proper divisors (25058403360).

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

8073051840 is a wasteful number, since it uses less digits than its factorization.

8073051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19109 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8073051840 is about 89850.1632719719. The cubic root of 8073051840 is about 2006.0692170056.

The spelling of 8073051840 in words is "eight billion, seventy-three million, fifty-one thousand, eight hundred forty".