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800923676 = 227431076217
BaseRepresentation
bin101111101111010…
…010000000011100
32001211002010201212
4233233102000130
53120014024201
6211250323552
725563511310
oct5757220034
92054063655
10800923676
113811118a3
121a42895b8
13c9c17447
1478529b40
154a4aaabb
hex2fbd201c

800923676 has 48 divisors (see below), whose sum is σ = 1654684416. Its totient is φ = 332083584.

The previous prime is 800923667. The next prime is 800923691. The reversal of 800923676 is 676329008.

800923676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125720 + ... + 131936.

It is an arithmetic number, because the mean of its divisors is an integer number (34472592).

Almost surely, 2800923676 is an apocalyptic number.

800923676 is a gapful number since it is divisible by the number (86) 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 800923676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827342208).

800923676 is an abundant number, since it is smaller than the sum of its proper divisors (853760740).

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

800923676 is a wasteful number, since it uses less digits than its factorization.

800923676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 800923676 is about 28300.5949760778. The cubic root of 800923676 is about 928.6749063246.

The spelling of 800923676 in words is "eight hundred million, nine hundred twenty-three thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 43 86 107 172 214 301 428 602 749 1204 1498 2996 4601 6217 9202 12434 18404 24868 32207 43519 64414 87038 128828 174076 267331 534662 665219 1069324 1330438 1871317 2660876 3742634 4656533 7485268 9313066 18626132 28604417 57208834 114417668 200230919 400461838 800923676