7605000000 has 504 divisors, whose sum is σ = 29505100248. Its totient is φ = 1872000000.

The previous prime is 7604999989. The next prime is 7605000001. The reversal of 7605000000 is 5067.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 625400064 + 6979599936 = 25008^2 + 83544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7605000001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 584999994 + ... + 585000006.

Almost surely, 2^7605000000 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 7605000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752550124).

7605000000 is an abundant number, since it is smaller than the sum of its proper divisors (21900100248).

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

7605000000 is an frugal number, since it uses more digits than its factorization.

7605000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 7605000000 is about 87206.6511224918. The cubic root of 7605000000 is about 1966.5262116808.

Adding to 7605000000 its reverse (5067), we get a palindrome (7605005067).

The spelling of 7605000000 in words is "seven billion, six hundred five million", and thus it is an aban number.