247580080 has 80 divisors (see below), whose sum is σ = 630522144. Its totient is φ = 89661440.

The previous prime is 247580071. The next prime is 247580087. The reversal of 247580080 is 80085742.

247580080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×247580080² = 122591792025612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247580087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310242 + ... + 311038.

Almost surely, 2^247580080 is an apocalyptic number.

247580080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315261072).

247580080 is an abundant number, since it is smaller than the sum of its proper divisors (382942064).

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

247580080 is a wasteful number, since it uses less digits than its factorization.

247580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 247580080 is about 15734.6776261861. The cubic root of 247580080 is about 627.9213256954.

The spelling of 247580080 in words is "two hundred forty-seven million, five hundred eighty thousand, eighty".