7081820928 has 576 divisors, whose sum is σ = 26280934400. Its totient is φ = 1854296064.

The previous prime is 7081820903. The next prime is 7081820959. The reversal of 7081820928 is 8290281807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50948283 + ... + 50948421.

Almost surely, 2^7081820928 is an apocalyptic number.

7081820928 is a gapful number since it is divisible by the number (78) 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 7081820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140467200).

7081820928 is an abundant number, since it is smaller than the sum of its proper divisors (19199113472).

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

7081820928 is an equidigital number, since it uses as much as digits as its factorization.

7081820928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 7081820928 is about 84153.5556468056. Note that the first 3 decimals coincide. The cubic root of 7081820928 is about 1920.3555591510.

The spelling of 7081820928 in words is "seven billion, eighty-one million, eight hundred twenty thousand, nine hundred twenty-eight".