7725957120 has 480 divisors, whose sum is σ = 31456320000. Its totient is φ = 1762394112.

The previous prime is 7725957101. The next prime is 7725957133. The reversal of 7725957120 is 217595277.

7725957120 is a `hidden beast` number, since 7 + 7 + 2 + 59 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482631 + ... + 15483129.

It is an arithmetic number, because the mean of its divisors is an integer number (65534000).

Almost surely, 2^7725957120 is an apocalyptic number.

7725957120 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 7725957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728160000).

7725957120 is an abundant number, since it is smaller than the sum of its proper divisors (23730362880).

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

7725957120 is an equidigital number, since it uses as much as digits as its factorization.

7725957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The square root of 7725957120 is about 87897.4238530345. The cubic root of 7725957120 is about 1976.8972524264.

The spelling of 7725957120 in words is "seven billion, seven hundred twenty-five million, nine hundred fifty-seven thousand, one hundred twenty".