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76675968 = 2732101659
BaseRepresentation
bin1001001000111…
…11101110000000
312100021112122200
410210133232000
5124112112333
611335233200
71620510045
oct444375600
9170245580
1076675968
113a310876
1221818800
1312b683c5
14a27d1cc
156ae8c13
hex491fb80

76675968 has 96 divisors (see below), whose sum is σ = 223165800. Its totient is φ = 25267200.

The previous prime is 76675961. The next prime is 76675969. The reversal of 76675968 is 86957667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76675961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116023 + ... + 116681.

Almost surely, 276675968 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 76675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111582900).

76675968 is an abundant number, since it is smaller than the sum of its proper divisors (146489832).

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

76675968 is a wasteful number, since it uses less digits than its factorization.

76675968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 765 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 76675968 is about 8756.4814851629. The cubic root of 76675968 is about 424.8344785659.

The spelling of 76675968 in words is "seventy-six million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 288 303 384 404 576 606 659 808 909 1152 1212 1318 1616 1818 1977 2424 2636 3232 3636 3954 4848 5272 5931 6464 7272 7908 9696 10544 11862 12928 14544 15816 19392 21088 23724 29088 31632 38784 42176 47448 58176 63264 66559 84352 94896 116352 126528 133118 189792 199677 253056 266236 379584 399354 532472 599031 759168 798708 1064944 1198062 1597416 2129888 2396124 3194832 4259776 4792248 6389664 8519552 9584496 12779328 19168992 25558656 38337984 76675968