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80404400880 = 24325172386411
BaseRepresentation
bin100101011100001111…
…0011100101011110000
321200112112001202201100
41022320132130223300
52304132011312010
6100534241204400
75544332062626
oct1127036345360
9250475052640
1080404400880
1131110208491
12136bb330700
137774b5758b
143c6a767516
152158c512c0
hex12b879caf0

80404400880 has 180 divisors, whose sum is σ = 286843674312. Its totient is φ = 20179875840.

The previous prime is 80404400801. The next prime is 80404400911. The reversal of 80404400880 is 8800440408.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14875 + ... + 401285.

Almost surely, 280404400880 is an apocalyptic number.

80404400880 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 80404400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143421837156).

80404400880 is an abundant number, since it is smaller than the sum of its proper divisors (206439273432).

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

80404400880 is a wasteful number, since it uses less digits than its factorization.

80404400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386464 (or 386438 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 80404400880 in words is "eighty billion, four hundred four million, four hundred thousand, eight hundred eighty".