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770422900 = 2252131095437
BaseRepresentation
bin101101111010111…
…011100001110100
31222200200112112111
4231322323201310
53034212013100
6204240500404
725043325622
oct5572734164
91880615474
10770422900
1136597a145
1219601a704
13c37c8550
147446a512
15479836ba
hex2debb874

770422900 has 72 divisors (see below), whose sum is σ = 1817270840. Its totient is φ = 281802240.

The previous prime is 770422897. The next prime is 770422901. The reversal of 770422900 is 9224077.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 242985744 + 527437156 = 15588^2 + 22966^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770422901) 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, 138982 + ... + 144418.

Almost surely, 2770422900 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 770422900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908635420).

770422900 is an abundant number, since it is smaller than the sum of its proper divisors (1046847940).

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

770422900 is a wasteful number, since it uses less digits than its factorization.

770422900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 770422900 is about 27756.4929340866. The cubic root of 770422900 is about 916.7334136888.

Adding to 770422900 its reverse (9224077), we get a palindrome (779646977).

The spelling of 770422900 in words is "seven hundred seventy million, four hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 109 130 218 260 325 436 545 650 1090 1300 1417 2180 2725 2834 5437 5450 5668 7085 10874 10900 14170 21748 27185 28340 35425 54370 70681 70850 108740 135925 141362 141700 271850 282724 353405 543700 592633 706810 1185266 1413620 1767025 2370532 2963165 3534050 5926330 7068100 7704229 11852660 14815825 15408458 29631650 30816916 38521145 59263300 77042290 154084580 192605725 385211450 770422900