7082380800 has 960 divisors, whose sum is σ = 29957368320. Its totient is φ = 1642291200.

The previous prime is 7082380771. The next prime is 7082380817. The reversal of 7082380800 is 80832807.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307929589 + ... + 307929611.

It is an arithmetic number, because the mean of its divisors is an integer number (31205592).

Almost surely, 2^7082380800 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 7082380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978684160).

7082380800 is an abundant number, since it is smaller than the sum of its proper divisors (22874987520).

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

7082380800 is an equidigital number, since it uses as much as digits as its factorization.

7082380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7082380800 is about 84156.8820715216. The cubic root of 7082380800 is about 1920.4061640725.

The spelling of 7082380800 in words is "seven billion, eighty-two million, three hundred eighty thousand, eight hundred".