7725206160 has 120 divisors (see below), whose sum is σ = 29650096320. Its totient is φ = 1765760256.

The previous prime is 7725206149. The next prime is 7725206161. The reversal of 7725206160 is 616025277.

7725206160 is a `hidden beast` number, since 7 + 72 + 520 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×7725206160³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7725206161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761350 + ... + 771429.

It is an arithmetic number, because the mean of its divisors is an integer number (247084136).

Almost surely, 2^7725206160 is an apocalyptic number.

7725206160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7725206160 is an abundant number, since it is smaller than the sum of its proper divisors (21924890160).

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

7725206160 is a wasteful number, since it uses less digits than its factorization.

7725206160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532805 (or 1532796 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7725206160 is about 87893.1519516737. The cubic root of 7725206160 is about 1976.8331991387.

The spelling of 7725206160 in words is "seven billion, seven hundred twenty-five million, two hundred six thousand, one hundred sixty".