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876008380 = 2251353151421
BaseRepresentation
bin110100001101101…
…101001110111100
32021001100211120211
4310031231032330
53243224232010
6222531522204
730464643202
oct6415551674
92231324524
10876008380
1140a536075
12205459364
1310c646470
14844b3072
1551d8d08a
hex3436d3bc

876008380 has 96 divisors (see below), whose sum is σ = 2036700288. Its totient is φ = 314496000.

The previous prime is 876008333. The next prime is 876008387. The reversal of 876008380 is 83800678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876008387) 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 31 ways as a sum of consecutive naturals, for example, 2080570 + ... + 2080990.

It is an arithmetic number, because the mean of its divisors is an integer number (21215628).

Almost surely, 2876008380 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 876008380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018350144).

876008380 is an abundant number, since it is smaller than the sum of its proper divisors (1160691908).

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

876008380 is a wasteful number, since it uses less digits than its factorization.

876008380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 876008380 is about 29597.4387405397. The cubic root of 876008380 is about 956.8328715804.

The spelling of 876008380 in words is "eight hundred seventy-six million, eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 151 212 260 265 302 421 530 604 689 755 842 1060 1378 1510 1684 1963 2105 2756 3020 3445 3926 4210 5473 6890 7852 8003 8420 9815 10946 13780 16006 19630 21892 22313 27365 32012 39260 40015 44626 54730 63571 80030 89252 104039 109460 111565 127142 160060 208078 223130 254284 290069 317855 416156 446260 520195 580138 635710 826423 1040390 1160276 1271420 1450345 1652846 2080780 2900690 3305692 3369263 4132115 5801380 6738526 8264230 13477052 16528460 16846315 33692630 43800419 67385260 87600838 175201676 219002095 438004190 876008380