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796465080 = 233255873769
BaseRepresentation
bin101111011110010…
…001011110111000
32001111200121200200
4233132101132320
53112343340310
6211011002200
725510561425
oct5736213670
92044617620
10796465080
11379647004
121a2899360
13c9015c18
1477ac8d4c
1549dc99c0
hex2f7917b8

796465080 has 96 divisors (see below), whose sum is σ = 2593609200. Its totient is φ = 211972608.

The previous prime is 796465067. The next prime is 796465081. The reversal of 796465080 is 80564697.

It is a super-3 number, since 3×7964650803 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796465081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209436 + ... + 213204.

Almost surely, 2796465080 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 796465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296804600).

796465080 is an abundant number, since it is smaller than the sum of its proper divisors (1797144120).

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

796465080 is a wasteful number, since it uses less digits than its factorization.

796465080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 796465080 is about 28221.7129175392. The cubic root of 796465080 is about 926.9484441187.

The spelling of 796465080 in words is "seven hundred ninety-six million, four hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 587 1174 1761 2348 2935 3522 3769 4696 5283 5870 7044 7538 8805 10566 11307 11740 14088 15076 17610 18845 21132 22614 23480 26415 30152 33921 35220 37690 42264 45228 52830 56535 67842 70440 75380 90456 105660 113070 135684 150760 169605 211320 226140 271368 339210 452280 678420 1356840 2212403 4424806 6637209 8849612 11062015 13274418 17699224 19911627 22124030 26548836 33186045 39823254 44248060 53097672 66372090 79646508 88496120 99558135 132744180 159293016 199116270 265488360 398232540 796465080