8070248760 has 256 divisors, whose sum is σ = 29098137600. Its totient is φ = 1751500800.

The previous prime is 8070248759. The next prime is 8070248773. The reversal of 8070248760 is 678420708.

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 63 ways as a sum of consecutive naturals, for example, 1483245 + ... + 1488675.

It is an arithmetic number, because the mean of its divisors is an integer number (113664600).

Almost surely, 2^8070248760 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 8070248760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549068800).

8070248760 is an abundant number, since it is smaller than the sum of its proper divisors (21027888840).

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

8070248760 is a wasteful number, since it uses less digits than its factorization.

8070248760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 8070248760 is about 89834.5632816234. The cubic root of 8070248760 is about 2005.8370114096.

The spelling of 8070248760 in words is "eight billion, seventy million, two hundred forty-eight thousand, seven hundred sixty".