8027965080 has 320 divisors, whose sum is σ = 29816994240. Its totient is φ = 1926955008.

The previous prime is 8027965037. The next prime is 8027965117. The reversal of 8027965080 is 805697208.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1263672 + ... + 1270008.

It is an arithmetic number, because the mean of its divisors is an integer number (93178107).

Almost surely, 2^8027965080 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 8027965080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908497120).

8027965080 is an abundant number, since it is smaller than the sum of its proper divisors (21789029160).

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

8027965080 is a wasteful number, since it uses less digits than its factorization.

8027965080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8027965080 is about 89598.9122701833. The cubic root of 8027965080 is about 2002.3277131580.

The spelling of 8027965080 in words is "eight billion, twenty-seven million, nine hundred sixty-five thousand, eighty".