| Base | Representation |
|---|---|
| bin | 101111101110000… |
| … | …111001000000000 |
| 3 | 2001210111120000000 |
| 4 | 233232013020000 |
| 5 | 3114424220320 |
| 6 | 211240000000 |
| 7 | 25561063143 |
| oct | 5756071000 |
| 9 | 2053446000 |
| 10 | 800616960 |
| 11 | 380a22410 |
| 12 | 1a4160000 |
| 13 | c9b3a960 |
| 14 | 7848a05a |
| 15 | 4a449c90 |
| hex | 2fb87200 |
800616960 has 640 divisors, whose sum is σ = 3382283520. Its totient is φ = 179159040.
The previous prime is 800616953. The next prime is 800616967. The reversal of 800616960 is 69616008.
It is an interprime number because it is at equal distance from previous prime (800616953) and next prime (800616967).
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (800616967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585914 + ... + 61585926.
It is an arithmetic number, because the mean of its divisors is an integer number (5284818).
Almost surely, 2800616960 is an apocalyptic number.
800616960 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 800616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691141760).
800616960 is an abundant number, since it is smaller than the sum of its proper divisors (2581666560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
800616960 is an equidigital number, since it uses as much as digits as its factorization.
800616960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 800616960 is about 28295.1755605085. The cubic root of 800616960 is about 928.5563449564.
The spelling of 800616960 in words is "eight hundred million, six hundred sixteen thousand, nine hundred sixty".
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