Search a number
-
+
80812800 = 2832522361
BaseRepresentation
bin1001101000100…
…01101100000000
312122001201022200
410310101230000
5131142002200
612004033200
72000616555
oct464215400
9178051280
1080812800
1141686942
1223092800
1313986333
14aa38a2c
157164800
hex4d11b00

80812800 has 324 divisors, whose sum is σ = 306428304. Its totient is φ = 20275200.

The previous prime is 80812783. The next prime is 80812807. The reversal of 80812800 is 821808.

It is not an unprimeable number, because it can be changed into a prime (80812807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324770 + ... + 1324830.

Almost surely, 280812800 is an apocalyptic number.

80812800 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 80812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153214152).

80812800 is an abundant number, since it is smaller than the sum of its proper divisors (225615504).

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

80812800 is a wasteful number, since it uses less digits than its factorization.

80812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 80812800 is about 8989.5939841575. The cubic root of 80812800 is about 432.3412940816.

The spelling of 80812800 in words is "eighty million, eight hundred twelve thousand, eight hundred".