7713861120 has 640 divisors, whose sum is σ = 31819392000. Its totient is φ = 1734967296.

The previous prime is 7713861083. The next prime is 7713861149. The reversal of 7713861120 is 211683177.

7713861120 is a `hidden beast` number, since 7 + 7 + 1 + 38 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 51770806 + ... + 51770954.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 2^7713861120 is an apocalyptic number.

7713861120 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 7713861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696000).

7713861120 is an abundant number, since it is smaller than the sum of its proper divisors (24105530880).

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

7713861120 is a wasteful number, since it uses less digits than its factorization.

7713861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7713861120 is about 87828.5894228070. The cubic root of 7713861120 is about 1975.8650161580.

The spelling of 7713861120 in words is "seven billion, seven hundred thirteen million, eight hundred sixty-one thousand, one hundred twenty".