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80768389520 = 245721329314143
BaseRepresentation
bin100101100111000101…
…0111101000110010000
321201110212222022021002
41023032022331012100
52310403201431040
6101034322521132
75556341661200
oct1131612750620
9251425868232
1080768389520
1131287717545
12137a12061a8
13780239a980
143ca2c36400
15217ab9ea15
hex12ce2bd190

80768389520 has 960 divisors, whose sum is σ = 263323146240. Its totient is φ = 22759833600.

The previous prime is 80768389501. The next prime is 80768389567. The reversal of 80768389520 is 2598386708.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1878334619 + ... + 1878334661.

It is an arithmetic number, because the mean of its divisors is an integer number (274294944).

Almost surely, 280768389520 is an apocalyptic number.

80768389520 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 80768389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131661573120).

80768389520 is an abundant number, since it is smaller than the sum of its proper divisors (182554756720).

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

80768389520 is a wasteful number, since it uses less digits than its factorization.

80768389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 80768389520 in words is "eighty billion, seven hundred sixty-eight million, three hundred eighty-nine thousand, five hundred twenty".