7040382800 has 240 divisors, whose sum is σ = 19538713728. Its totient is φ = 2412748800.

The previous prime is 7040382781. The next prime is 7040382803. The reversal of 7040382800 is 82830407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7040382803) 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 47 ways as a sum of consecutive naturals, for example, 7387124 + ... + 7388076.

Almost surely, 2^7040382800 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 7040382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769356864).

7040382800 is an abundant number, since it is smaller than the sum of its proper divisors (12498330928).

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

7040382800 is a wasteful number, since it uses less digits than its factorization.

7040382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7040382800 is about 83906.9889818482. The cubic root of 7040382800 is about 1916.6026799895.

The spelling of 7040382800 in words is "seven billion, forty million, three hundred eighty-two thousand, eight hundred".