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80790766560 = 25325731475501
BaseRepresentation
bin100101100111110000…
…0010100001111100000
321201112110002011210100
41023033200110033200
52310424414012220
6101040442302400
75560033120320
oct1131740241740
9251473064710
1080790766560
1131299310769
12137a87b7a00
137806c0401a
143ca5bbd280
15217cb1ed90
hex12cf8143e0

80790766560 has 576 divisors, whose sum is σ = 332228542464. Its totient is φ = 17487360000.

The previous prime is 80790766543. The next prime is 80790766577. The reversal of 80790766560 is 6566709708.

It is a happy number.

80790766560 is a `hidden beast` number, since 8 + 0 + 7 + 9 + 0 + 76 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (80790766543) and next prime (80790766577).

It is a super-2 number, since 2×807907665602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80790766497 and 80790766506.

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, 14683810 + ... + 14689310.

It is an arithmetic number, because the mean of its divisors is an integer number (576785664).

Almost surely, 280790766560 is an apocalyptic number.

80790766560 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 80790766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166114271232).

80790766560 is an abundant number, since it is smaller than the sum of its proper divisors (251437775904).

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

80790766560 is a wasteful number, since it uses less digits than its factorization.

80790766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 80790766560 in words is "eighty billion, seven hundred ninety million, seven hundred sixty-six thousand, five hundred sixty".