7730005920 has 288 divisors, whose sum is σ = 30135514752. Its totient is φ = 1630826496.

The previous prime is 7730005909. The next prime is 7730005939. The reversal of 7730005920 is 295000377.

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 47 ways as a sum of consecutive naturals, for example, 561034 + ... + 574646.

It is an arithmetic number, because the mean of its divisors is an integer number (104637204).

Almost surely, 2^7730005920 is an apocalyptic number.

7730005920 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 7730005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067757376).

7730005920 is an abundant number, since it is smaller than the sum of its proper divisors (22405508832).

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

7730005920 is a wasteful number, since it uses less digits than its factorization.

7730005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664 (or 13643 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 7730005920 is about 87920.4522281363. The cubic root of 7730005920 is about 1977.2425241599.

The spelling of 7730005920 in words is "seven billion, seven hundred thirty million, five thousand, nine hundred twenty".