527300080 has 80 divisors (see below), whose sum is σ = 1280275200. Its totient is φ = 201738240.

The previous prime is 527300041. The next prime is 527300107. The reversal of 527300080 is 80003725.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219526 + ... + 221914.

It is an arithmetic number, because the mean of its divisors is an integer number (16003440).

Almost surely, 2^527300080 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 527300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640137600).

527300080 is an abundant number, since it is smaller than the sum of its proper divisors (752975120).

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

527300080 is a wasteful number, since it uses less digits than its factorization.

527300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 527300080 is about 22963.0154814214. The cubic root of 527300080 is about 807.8907067151.

The spelling of 527300080 in words is "five hundred twenty-seven million, three hundred thousand, eighty".