7084087920 has 360 divisors, whose sum is σ = 29445320736. Its totient is φ = 1494484992.

The previous prime is 7084087909. The next prime is 7084087939. The reversal of 7084087920 is 297804807.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 847602 + ... + 855918.

Almost surely, 2^7084087920 is an apocalyptic number.

7084087920 is a gapful number since it is divisible by the number (70) 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 7084087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722660368).

7084087920 is an abundant number, since it is smaller than the sum of its proper divisors (22361232816).

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

7084087920 is a wasteful number, since it uses less digits than its factorization.

7084087920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7084087920 is about 84167.0239464364. The cubic root of 7084087920 is about 1920.5604483683.

The spelling of 7084087920 in words is "seven billion, eighty-four million, eighty-seven thousand, nine hundred twenty".