7082835840 has 192 divisors, whose sum is σ = 24570196560. Its totient is φ = 1880088576.

The previous prime is 7082835797. The next prime is 7082835841. The reversal of 7082835840 is 485382807.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082835841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1304812 + ... + 1310228.

Almost surely, 2^7082835840 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 7082835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285098280).

7082835840 is an abundant number, since it is smaller than the sum of its proper divisors (17487360720).

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

7082835840 is a wasteful number, since it uses less digits than its factorization.

7082835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7082835840 is about 84159.5855503103. The cubic root of 7082835840 is about 1920.4472916222.

The spelling of 7082835840 in words is "seven billion, eighty-two million, eight hundred thirty-five thousand, eight hundred forty".