80982177408 has 640 divisors, whose sum is σ = 272238848640. Its totient is φ = 23688806400.

The previous prime is 80982177403. The next prime is 80982177439. The reversal of 80982177408 is 80477128908.

It is a happy number.

80982177408 is a `hidden beast` number, since 80 + 98 + 2 + 1 + 77 + 408 = 666.

It is a super-2 number, since 2×80982177408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80982177403) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 591110716 + ... + 591110852.

It is an arithmetic number, because the mean of its divisors is an integer number (425373201).

Almost surely, 2^80982177408 is an apocalyptic number.

80982177408 is a gapful number since it is divisible by the number (88) 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 80982177408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136119424320).

80982177408 is an abundant number, since it is smaller than the sum of its proper divisors (191256671232).

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

80982177408 is a wasteful number, since it uses less digits than its factorization.

80982177408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 80982177408 in words is "eighty billion, nine hundred eighty-two million, one hundred seventy-seven thousand, four hundred eight".