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800740080 = 243457127139
BaseRepresentation
bin101111101110100…
…101001011110000
32001210201210220000
4233232211023300
53114442140310
6211242350000
725562115120
oct5756451360
92053653800
10800740080
11380aa6968
121a41bb300
13c9b819ca
14784bcc80
154a4714c0
hex2fba52f0

800740080 has 400 divisors, whose sum is σ = 3226460160. Its totient is φ = 180278784.

The previous prime is 800740079. The next prime is 800740091. The reversal of 800740080 is 80047008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5760651 + ... + 5760789.

Almost surely, 2800740080 is an apocalyptic number.

800740080 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 800740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613230080).

800740080 is an abundant number, since it is smaller than the sum of its proper divisors (2425720080).

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

800740080 is a wasteful number, since it uses less digits than its factorization.

800740080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 800740080 is about 28297.3511127809. The cubic root of 800740080 is about 928.6039407495.

Adding to 800740080 its reverse (80047008), we get a palindrome (880787088).

The spelling of 800740080 in words is "eight hundred million, seven hundred forty thousand, eighty".