7725808120 has 64 divisors (see below), whose sum is σ = 18431776800. Its totient is φ = 2906265600.

The previous prime is 7725808061. The next prime is 7725808121. The reversal of 7725808120 is 218085277.

It is a super-2 number, since 2×7725808120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7725808121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67020 + ... + 141220.

Almost surely, 2^7725808120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7725808120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215888400).

7725808120 is an abundant number, since it is smaller than the sum of its proper divisors (10705968680).

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

7725808120 is a wasteful number, since it uses less digits than its factorization.

7725808120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74368 (or 74364 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 7725808120 is about 87896.5762700687. The cubic root of 7725808120 is about 1976.8845437709.

The spelling of 7725808120 in words is "seven billion, seven hundred twenty-five million, eight hundred eight thousand, one hundred twenty".