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801696080 = 24525738993
BaseRepresentation
bin101111110010001…
…110100101010000
32001212112101021102
4233302032211100
53120213233310
6211315043532
725603206233
oct5762164520
92055471242
10801696080
1138159a149
121a45a05a8
13ca127ba3
147868b41a
154a5ae8a5
hex2fc8e950

801696080 has 40 divisors (see below), whose sum is σ = 1871244072. Its totient is φ = 319422464.

The previous prime is 801696043. The next prime is 801696101. The reversal of 801696080 is 80696108.

801696080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205750336 + 595945744 = 14344^2 + 24412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064 + ... + 40056.

Almost surely, 2801696080 is an apocalyptic number.

801696080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801696080 is an abundant number, since it is smaller than the sum of its proper divisors (1069547992).

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

801696080 is a wasteful number, since it uses less digits than its factorization.

801696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39263 (or 39257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 801696080 is about 28314.2381144187. The cubic root of 801696080 is about 928.9733458086.

The spelling of 801696080 in words is "eight hundred one million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 2056 2570 4112 5140 10280 20560 38993 77986 155972 194965 311944 389930 623888 779860 1559720 3119440 10021201 20042402 40084804 50106005 80169608 100212010 160339216 200424020 400848040 801696080