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76916680 = 23543197227
BaseRepresentation
bin1001001010110…
…10011111001000
312100201202211221
410211122133020
5124142313210
611344331424
71622531611
oct445323710
9170652757
1076916680
113a465705
1221913b74
1312c20b39
14a302c08
156b451da
hex495a7c8

76916680 has 64 divisors (see below), whose sum is σ = 178770240. Its totient is φ = 29766912.

The previous prime is 76916659. The next prime is 76916683. The reversal of 76916680 is 8661967.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (76916683) 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 15 ways as a sum of consecutive naturals, for example, 338727 + ... + 338953.

It is an arithmetic number, because the mean of its divisors is an integer number (2793285).

Almost surely, 276916680 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 76916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

76916680 is an abundant number, since it is smaller than the sum of its proper divisors (101853560).

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

76916680 is a wasteful number, since it uses less digits than its factorization.

76916680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 76916680 is about 8770.2155047638. The cubic root of 76916680 is about 425.2785809071.

The spelling of 76916680 in words is "seventy-six million, nine hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 197 215 227 344 394 430 454 788 860 908 985 1135 1576 1720 1816 1970 2270 3940 4540 7880 8471 9080 9761 16942 19522 33884 39044 42355 44719 48805 67768 78088 84710 89438 97610 169420 178876 195220 223595 338840 357752 390440 447190 894380 1788760 1922917 3845834 7691668 9614585 15383336 19229170 38458340 76916680