7789918080 has 384 divisors, whose sum is σ = 29827215360. Its totient is φ = 1722470400.

The previous prime is 7789918069. The next prime is 7789918117. The reversal of 7789918080 is 808199877.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7789918080² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7789918080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2915145 + ... + 2917815.

It is an arithmetic number, because the mean of its divisors is an integer number (77675040).

Almost surely, 2^7789918080 is an apocalyptic number.

7789918080 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 7789918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913607680).

7789918080 is an abundant number, since it is smaller than the sum of its proper divisors (22037297280).

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

7789918080 is a wasteful number, since it uses less digits than its factorization.

7789918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The square root of 7789918080 is about 88260.5125749902. The cubic root of 7789918080 is about 1982.3376532468.

The spelling of 7789918080 in words is "seven billion, seven hundred eighty-nine million, nine hundred eighteen thousand, eighty".