8007086340 has 72 divisors (see below), whose sum is σ = 26496183168. Its totient is φ = 1941111360.

The previous prime is 8007086291. The next prime is 8007086369. The reversal of 8007086340 is 436807008.

It is a super-2 number, since 2×8007086340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8007086295 and 8007086304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020012 + ... + 2023971.

It is an arithmetic number, because the mean of its divisors is an integer number (368002544).

Almost surely, 2^8007086340 is an apocalyptic number.

It is an amenable number.

8007086340 is an abundant number, since it is smaller than the sum of its proper divisors (18489096828).

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

8007086340 is a wasteful number, since it uses less digits than its factorization.

8007086340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044009 (or 4044004 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8007086340 is about 89482.3241763422. The cubic root of 8007086340 is about 2000.5903540572.

The spelling of 8007086340 in words is "eight billion, seven million, eighty-six thousand, three hundred forty".