7721925120 has 960 divisors, whose sum is σ = 34317803520. Its totient is φ = 1560674304.

The previous prime is 7721925077. The next prime is 7721925131. The reversal of 7721925120 is 215291277.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60802497 + ... + 60802623.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^7721925120 is an apocalyptic number.

7721925120 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 7721925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

7721925120 is an abundant number, since it is smaller than the sum of its proper divisors (26595878400).

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

7721925120 is a wasteful number, since it uses less digits than its factorization.

7721925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 7721925120 is about 87874.4850340530. The cubic root of 7721925120 is about 1976.5532934579.

The spelling of 7721925120 in words is "seven billion, seven hundred twenty-one million, nine hundred twenty-five thousand, one hundred twenty".