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80856726720 = 26357211307509
BaseRepresentation
bin100101101001101101…
…1111011110011000000
321201201001012022010020
41023103123323303000
52311043310223340
6101051200133440
75561463560100
oct1132333736300
9251631168106
1080856726720
11313225725a0
1213806907280
137817789ac3
143cb086d200
1521837ed9d0
hex12d36fbcc0

80856726720 has 672 divisors, whose sum is σ = 327485410560. Its totient is φ = 16713768960.

The previous prime is 80856726719. The next prime is 80856726721. The reversal of 80856726720 is 2762765808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80856726719) and next prime (80856726721).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (80856726721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158853826 + ... + 158854334.

It is an arithmetic number, because the mean of its divisors is an integer number (487329480).

Almost surely, 280856726720 is an apocalyptic number.

80856726720 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 80856726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163742705280).

80856726720 is an abundant number, since it is smaller than the sum of its proper divisors (246628683840).

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

80856726720 is a wasteful number, since it uses less digits than its factorization.

80856726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 80856726720 in words is "eighty billion, eight hundred fifty-six million, seven hundred twenty-six thousand, seven hundred twenty".