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780374916 = 2232197116069
BaseRepresentation
bin101110100000111…
…001001110000100
32000101102011010200
4232200321032010
53044233444131
6205234050500
725224035346
oct5640711604
92011364120
10780374916
11370557252
12199419a30
13c58a1309
14758db296
154879c2e6
hex2e839384

780374916 has 72 divisors (see below), whose sum is σ = 2105812800. Its totient is φ = 242948160.

The previous prime is 780374911. The next prime is 780374921. The reversal of 780374916 is 619473087.

It is an interprime number because it is at equal distance from previous prime (780374911) and next prime (780374921).

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

It is not an unprimeable number, because it can be changed into a prime (780374911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40530 + ... + 56598.

It is an arithmetic number, because the mean of its divisors is an integer number (29247400).

Almost surely, 2780374916 is an apocalyptic number.

780374916 is a gapful number since it is divisible by the number (76) 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 780374916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052906400).

780374916 is an abundant number, since it is smaller than the sum of its proper divisors (1325437884).

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

780374916 is a wasteful number, since it uses less digits than its factorization.

780374916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 780374916 is about 27935.1913542757. The cubic root of 780374916 is about 920.6638702387.

The spelling of 780374916 in words is "seven hundred eighty million, three hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16069 16188 24282 32138 48207 48564 64276 96414 144621 192828 289242 305311 578484 610622 915933 1140899 1221244 1831866 2281798 2747799 3422697 3663732 4563596 5495598 6845394 10268091 10991196 13690788 20536182 21677081 41072364 43354162 65031243 86708324 130062486 195093729 260124972 390187458 780374916