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76728780 = 223252914699
BaseRepresentation
bin1001001001011…
…00100111001100
312100101020002200
410210230213030
5124120310110
611340321500
71621120032
oct444544714
9170336080
1076728780
113a347517
1221843290
1312b8645b
14a294552
156b096c0
hex492c9cc

76728780 has 72 divisors (see below), whose sum is σ = 240786000. Its totient is φ = 19754112.

The previous prime is 76728749. The next prime is 76728793. The reversal of 76728780 is 8782767.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (3344250).

Almost surely, 276728780 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 76728780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120393000).

76728780 is an abundant number, since it is smaller than the sum of its proper divisors (164057220).

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

76728780 is a wasteful number, since it uses less digits than its factorization.

76728780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14743 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 76728780 is about 8759.4965608761. The cubic root of 76728780 is about 424.9319937322.

The spelling of 76728780 in words is "seventy-six million, seven hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 14699 29398 44097 58796 73495 88194 132291 146990 176388 220485 264582 293980 426271 440970 529164 661455 852542 881940 1278813 1322910 1705084 2131355 2557626 2645820 3836439 4262710 5115252 6394065 7672878 8525420 12788130 15345756 19182195 25576260 38364390 76728780