7082393760 has 480 divisors, whose sum is σ = 27211548672. Its totient is φ = 1724405760.

The previous prime is 7082393753. The next prime is 7082393767. The reversal of 7082393760 is 673932807.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7082393753) and next prime (7082393767).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7082393767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21396795 + ... + 21397125.

Almost surely, 2^7082393760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605774336).

7082393760 is an abundant number, since it is smaller than the sum of its proper divisors (20129154912).

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

7082393760 is a wasteful number, since it uses less digits than its factorization.

7082393760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7082393760 is about 84156.9590705368. The cubic root of 7082393760 is about 1920.4073354511.

The spelling of 7082393760 in words is "seven billion, eighty-two million, three hundred ninety-three thousand, seven hundred sixty".