7793458920 has 384 divisors, whose sum is σ = 30144441600. Its totient is φ = 1726636032.

The previous prime is 7793458913. The next prime is 7793458949. The reversal of 7793458920 is 298543977.

7793458920 is a `hidden beast` number, since 7 + 7 + 9 + 34 + 589 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1827751 + ... + 1832009.

It is an arithmetic number, because the mean of its divisors is an integer number (78501150).

Almost surely, 2^7793458920 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 7793458920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072220800).

7793458920 is an abundant number, since it is smaller than the sum of its proper divisors (22350982680).

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

7793458920 is a wasteful number, since it uses less digits than its factorization.

7793458920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7793458920 is about 88280.5693230396. The cubic root of 7793458920 is about 1982.6379592388.

The spelling of 7793458920 in words is "seven billion, seven hundred ninety-three million, four hundred fifty-eight thousand, nine hundred twenty".