7580080080 has 120 divisors (see below), whose sum is σ = 25476667008. Its totient is φ = 2019748608.

The previous prime is 7580080069. The next prime is 7580080091. The reversal of 7580080080 is 800800857.

It is an interprime number because it is at equal distance from previous prime (7580080069) and next prime (7580080091).

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

It is a super-2 number, since 2×7580080080² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107549 + ... + 1114371.

Almost surely, 2^7580080080 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 7580080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738333504).

7580080080 is an abundant number, since it is smaller than the sum of its proper divisors (17896586928).

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

7580080080 is a wasteful number, since it uses less digits than its factorization.

7580080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8376 counting only the distinct ones).

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

The square root of 7580080080 is about 87063.6553333249. The cubic root of 7580080080 is about 1964.3759026523.

The spelling of 7580080080 in words is "seven billion, five hundred eighty million, eighty thousand, eighty".