7661250120 has 128 divisors (see below), whose sum is σ = 23356771200. Its totient is φ = 2010095616.

The previous prime is 7661250109. The next prime is 7661250127. The reversal of 7661250120 is 210521667.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7661250127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081722 + ... + 2085398.

It is an arithmetic number, because the mean of its divisors is an integer number (182474775).

Almost surely, 2^7661250120 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 7661250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678385600).

7661250120 is an abundant number, since it is smaller than the sum of its proper divisors (15695521080).

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

7661250120 is a wasteful number, since it uses less digits than its factorization.

7661250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7661250120 is about 87528.5674508614. The cubic root of 7661250120 is about 1971.3627545165.

Adding to 7661250120 its reverse (210521667), we get a palindrome (7871771787).

The spelling of 7661250120 in words is "seven billion, six hundred sixty-one million, two hundred fifty thousand, one hundred twenty".