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769664420 = 225722924007
BaseRepresentation
bin101101111000000…
…010010110100100
31222122021000002122
4231320002112210
53034013230140
6204212325112
725034016410
oct5570022644
91878230078
10769664420
113655012a8
12195913798
13c35c1245
147430dd40
1547883ab5
hex2de025a4

769664420 has 48 divisors (see below), whose sum is σ = 1855338240. Its totient is φ = 262721664.

The previous prime is 769664411. The next prime is 769664447. The reversal of 769664420 is 24466967.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20057 + ... + 44063.

It is an arithmetic number, because the mean of its divisors is an integer number (38652880).

Almost surely, 2769664420 is an apocalyptic number.

769664420 is a gapful number since it is divisible by the number (70) 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 769664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927669120).

769664420 is an abundant number, since it is smaller than the sum of its proper divisors (1085673820).

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

769664420 is a wasteful number, since it uses less digits than its factorization.

769664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24252 (or 24250 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 769664420 is about 27742.8264601861. The cubic root of 769664420 is about 916.4324740939.

The spelling of 769664420 in words is "seven hundred sixty-nine million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 3206 4580 6412 8015 16030 24007 32060 48014 96028 120035 168049 240070 336098 480140 672196 840245 1680490 3360980 5497603 10995206 21990412 27488015 38483221 54976030 76966442 109952060 153932884 192416105 384832210 769664420