7508880000 has 240 divisors, whose sum is σ = 27003426450. Its totient is φ = 2002176000.

The previous prime is 7508879947. The next prime is 7508880007. The reversal of 7508880000 is 888057.

It can be written as a sum of positive squares in 5 ways, for example, as 1436106816 + 6072773184 = 37896^2 + 77928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (7508880007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 714786 + ... + 725214.

Almost surely, 2^7508880000 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 7508880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501713225).

7508880000 is an abundant number, since it is smaller than the sum of its proper divisors (19494546450).

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

7508880000 is a wasteful number, since it uses less digits than its factorization.

7508880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7508880000 is about 86653.7939157888. The cubic root of 7508880000 is about 1958.2060497726.

The spelling of 7508880000 in words is "seven billion, five hundred eight million, eight hundred eighty thousand".