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80087978880 = 273557135659
BaseRepresentation
bin100101010010110011…
…1011001001110000000
321122201110122212100000
41022211213121032000
52303010010311010
6100443015200000
75533440405540
oct1124547311600
9248643585300
1080087978880
1130a686379a8
1213631376000
137724429b20
143c3a71b320
15213b09b7c0
hex12a59d9380

80087978880 has 768 divisors, whose sum is σ = 353042726400. Its totient is φ = 16894697472.

The previous prime is 80087978849. The next prime is 80087978903. The reversal of 80087978880 is 8887978008.

It is a super-2 number, since 2×800879788802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14149491 + ... + 14155149.

It is an arithmetic number, because the mean of its divisors is an integer number (459691050).

Almost surely, 280087978880 is an apocalyptic number.

80087978880 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 80087978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176521363200).

80087978880 is an abundant number, since it is smaller than the sum of its proper divisors (272954747520).

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

80087978880 is a wasteful number, since it uses less digits than its factorization.

80087978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 80087978880 in words is "eighty billion, eighty-seven million, nine hundred seventy-eight thousand, eight hundred eighty".