8070827520 has 320 divisors, whose sum is σ = 31225430016. Its totient is φ = 1736048640.

The previous prime is 8070827519. The next prime is 8070827561. The reversal of 8070827520 is 257280708.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909505 + ... + 918335.

Almost surely, 2^8070827520 is an apocalyptic number.

8070827520 is a gapful number since it is divisible by the number (80) 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 8070827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612715008).

8070827520 is an abundant number, since it is smaller than the sum of its proper divisors (23154602496).

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

8070827520 is a wasteful number, since it uses less digits than its factorization.

8070827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 8070827520 is about 89837.7844784699. The cubic root of 8070827520 is about 2005.8849599720.

The spelling of 8070827520 in words is "eight billion, seventy million, eight hundred twenty-seven thousand, five hundred twenty".