8084532880 has 80 divisors (see below), whose sum is σ = 19106549424. Its totient is φ = 3180902400.

The previous prime is 8084532871. The next prime is 8084532881. The reversal of 8084532880 is 882354808.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 676832256 + 7407700624 = 26016^2 + 86068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 8084532880.

It is not an unprimeable number, because it can be changed into a prime (8084532881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265374 + ... + 1271746.

Almost surely, 2^8084532880 is an apocalyptic number.

8084532880 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 8084532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553274712).

8084532880 is an abundant number, since it is smaller than the sum of its proper divisors (11022016544).

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

8084532880 is a wasteful number, since it uses less digits than its factorization.

8084532880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 8084532880 is about 89914.0304958019. The cubic root of 8084532880 is about 2007.0197394697.

The spelling of 8084532880 in words is "eight billion, eighty-four million, five hundred thirty-two thousand, eight hundred eighty".