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76740664 = 23721113372
BaseRepresentation
bin1001001001011…
…11100000111000
312100101211101211
410210233200320
5124121200124
611340452504
71621166500
oct444574070
9170354354
1076740664
113a355440
122184a134
1312b8b9a0
14a298a00
156b0ce94
hex492f838

76740664 has 144 divisors (see below), whose sum is σ = 202101480. Its totient is φ = 26853120.

The previous prime is 76740659. The next prime is 76740683. The reversal of 76740664 is 46604767.

It is a super-2 number, since 2×767406642 = 11778259022321792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2074054 + ... + 2074090.

Almost surely, 276740664 is an apocalyptic number.

76740664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76740664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101050740).

76740664 is an abundant number, since it is smaller than the sum of its proper divisors (125360816).

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

76740664 is a wasteful number, since it uses less digits than its factorization.

76740664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 76740664 is about 8760.1748840991. The cubic root of 76740664 is about 424.9539308772.

The spelling of 76740664 in words is "seventy-six million, seven hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 37 44 49 52 56 74 77 88 91 98 104 143 148 154 182 196 259 286 296 308 364 392 407 481 518 539 572 616 637 728 814 962 1001 1036 1078 1144 1274 1369 1628 1813 1924 2002 2072 2156 2548 2738 2849 3256 3367 3626 3848 4004 4312 5096 5291 5476 5698 6734 7007 7252 8008 9583 10582 10952 11396 13468 14014 14504 15059 17797 19166 19943 21164 22792 23569 26936 28028 30118 35594 37037 38332 39886 42328 47138 56056 60236 67081 71188 74074 76664 79772 94276 105413 120472 124579 134162 142376 148148 159544 188552 195767 210826 249158 259259 268324 296296 391534 421652 498316 518518 536648 737891 783068 843304 872053 996632 1037036 1370369 1475782 1566136 1744106 2074072 2740738 2951564 3488212 5481476 5903128 6976424 9592583 10962952 19185166 38370332 76740664