80352982080 has 1344 divisors, whose sum is σ = 351785041920. Its totient is φ = 16422912000.

The previous prime is 80352982069. The next prime is 80352982097. The reversal of 80352982080 is 8028925308.

80352982080 is a `hidden beast` number, since 8 + 0 + 352 + 98 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×80352982080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 795574030 + ... + 795574130.

Almost surely, 2^80352982080 is an apocalyptic number.

80352982080 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 80352982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175892520960).

80352982080 is an abundant number, since it is smaller than the sum of its proper divisors (271432059840).

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

80352982080 is a wasteful number, since it uses less digits than its factorization.

80352982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80352982080 in words is "eighty billion, three hundred fifty-two million, nine hundred eighty-two thousand, eighty".