7705998720 has 768 divisors, whose sum is σ = 33488640000. Its totient is φ = 1665183744.

The previous prime is 7705998679. The next prime is 7705998743. The reversal of 7705998720 is 278995077.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 16087441 + ... + 16087919.

It is an arithmetic number, because the mean of its divisors is an integer number (43605000).

Almost surely, 2^7705998720 is an apocalyptic number.

7705998720 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 7705998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320000).

7705998720 is an abundant number, since it is smaller than the sum of its proper divisors (25782641280).

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

7705998720 is a wasteful number, since it uses less digits than its factorization.

7705998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 7705998720 is about 87783.8180987817. The cubic root of 7705998720 is about 1975.1934837951.

The spelling of 7705998720 in words is "seven billion, seven hundred five million, nine hundred ninety-eight thousand, seven hundred twenty".