7580082048 has 384 divisors, whose sum is σ = 26070906240. Its totient is φ = 1928908800.

The previous prime is 7580082001. The next prime is 7580082067. The reversal of 7580082048 is 8402800857.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10969383 + ... + 10970073.

It is an arithmetic number, because the mean of its divisors is an integer number (67892985).

Almost surely, 2^7580082048 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 7580082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035453120).

7580082048 is an abundant number, since it is smaller than the sum of its proper divisors (18490824192).

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

7580082048 is a wasteful number, since it uses less digits than its factorization.

7580082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 7580082048 is about 87063.6666353996. Note that the first 4 decimals coincide. The cubic root of 7580082048 is about 1964.3760726545.

The spelling of 7580082048 in words is "seven billion, five hundred eighty million, eighty-two thousand, forty-eight".