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850080000 = 2835471123
BaseRepresentation
bin110010101010110…
…011000100000000
32012020120112112110
4302222303010000
53220110030000
6220204055320
730031363230
oct6252630400
92166515473
10850080000
113a6936760
121b8834540
13107168823
1480c83cc0
154e96a850
hex32ab3100

850080000 has 720 divisors, whose sum is σ = 3678022656. Its totient is φ = 168960000.

The previous prime is 850079999. The next prime is 850080001. The reversal of 850080000 is 80058.

It is an interprime number because it is at equal distance from previous prime (850079999) and next prime (850080001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (850080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36959989 + ... + 36960011.

Almost surely, 2850080000 is an apocalyptic number.

850080000 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 850080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839011328).

850080000 is an abundant number, since it is smaller than the sum of its proper divisors (2827942656).

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

850080000 is a wasteful number, since it uses less digits than its factorization.

850080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 850080000 is about 29156.1314306271. The cubic root of 850080000 is about 947.2979544728.

The spelling of 850080000 in words is "eight hundred fifty million, eighty thousand".