8007113070 has 192 divisors, whose sum is σ = 23624939520. Its totient is φ = 1863993600.

The previous prime is 8007113069. The next prime is 8007113087. The reversal of 8007113070 is 703117008.

It is a super-2 number, since 2×8007113070² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4264972 + ... + 4266848.

It is an arithmetic number, because the mean of its divisors is an integer number (123046560).

Almost surely, 2^8007113070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007113070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812469760).

8007113070 is an abundant number, since it is smaller than the sum of its proper divisors (15617826450).

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

8007113070 is a wasteful number, since it uses less digits than its factorization.

8007113070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 8007113070 is about 89482.4735353242. The cubic root of 8007113070 is about 2000.5925802403.

The spelling of 8007113070 in words is "eight billion, seven million, one hundred thirteen thousand, seventy".