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76799970 = 232513411601
BaseRepresentation
bin1001001001111…
…01111111100010
312100111211202100
410210331333202
5124130044340
611342031230
71621534422
oct444757742
9170454670
1076799970
113a395a55
1221878516
1312bac990
14a2b2482
156b20830
hex493dfe2

76799970 has 96 divisors (see below), whose sum is σ = 220422384. Its totient is φ = 18432000.

The previous prime is 76799963. The next prime is 76799971. The reversal of 76799970 is 7999767.

It can be written as a sum of positive squares in 8 ways, for example, as 24830289 + 51969681 = 4983^2 + 7209^2 .

It is not an unprimeable number, because it can be changed into a prime (76799971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47170 + ... + 48770.

Almost surely, 276799970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76799970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110211192).

76799970 is an abundant number, since it is smaller than the sum of its proper divisors (143622414).

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

76799970 is a wasteful number, since it uses less digits than its factorization.

76799970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 76799970 is about 8763.5592084495. The cubic root of 76799970 is about 425.0633723262.

The spelling of 76799970 in words is "seventy-six million, seven hundred ninety-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1601 1845 2665 3198 3202 3690 4797 4803 5330 7995 8005 9594 9606 14409 15990 16010 20813 23985 24015 28818 41626 47970 48030 62439 65641 72045 104065 124878 131282 144090 187317 196923 208130 312195 328205 374634 393846 590769 624390 656410 853333 936585 984615 1181538 1706666 1873170 1969230 2559999 2953845 4266665 5119998 5907690 7679997 8533330 12799995 15359994 25599990 38399985 76799970