Search a number
-
+
800781696 = 273211134861
BaseRepresentation
bin101111101110101…
…111010110000000
32001210210220222100
4233232233112000
53120000003241
6211243310400
725562350341
oct5756572600
92053726870
10800781696
11381025160
121a421b400
13c9b97930
14784d00c8
154a47d9b6
hex2fbaf580

800781696 has 192 divisors, whose sum is σ = 2707745040. Its totient is φ = 223948800.

The previous prime is 800781691. The next prime is 800781697. The reversal of 800781696 is 696187008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800781691) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162306 + ... + 167166.

Almost surely, 2800781696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353872520).

800781696 is an abundant number, since it is smaller than the sum of its proper divisors (1906963344).

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

800781696 is a wasteful number, since it uses less digits than its factorization.

800781696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 800781696 is about 28298.0864370720. The cubic root of 800781696 is about 928.6200275810.

The spelling of 800781696 in words is "eight hundred million, seven hundred eighty-one thousand, six hundred ninety-six".