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76676704 = 25131989109
BaseRepresentation
bin1001001000111…
…11111001100000
312100021120122221
410210133321200
5124112123304
611335240424
71620512146
oct444377140
9170246587
1076676704
113a311385
1221819114
1312b68840
14a27d596
156ae9054
hex491fe60

76676704 has 96 divisors (see below), whose sum is σ = 174636000. Its totient is φ = 32845824.

The previous prime is 76676701. The next prime is 76676707. The reversal of 76676704 is 40767667.

It is an interprime number because it is at equal distance from previous prime (76676701) and next prime (76676707).

It is a super-3 number, since 3×766767043 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76676701) 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, 703402 + ... + 703510.

It is an arithmetic number, because the mean of its divisors is an integer number (1819125).

Almost surely, 276676704 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 76676704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318000).

76676704 is an abundant number, since it is smaller than the sum of its proper divisors (97959296).

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

76676704 is a wasteful number, since it uses less digits than its factorization.

76676704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 76676704 is about 8756.5235110745. The cubic root of 76676704 is about 424.8358378670.

The spelling of 76676704 in words is "seventy-six million, six hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 89 104 109 152 178 208 218 247 304 356 416 436 494 608 712 872 988 1157 1417 1424 1691 1744 1976 2071 2314 2834 2848 3382 3488 3952 4142 4628 5668 6764 7904 8284 9256 9701 11336 13528 16568 18512 19402 21983 22672 26923 27056 33136 37024 38804 43966 45344 53846 54112 66272 77608 87932 107692 126113 155216 175864 184319 215384 252226 310432 351728 368638 430768 504452 703456 737276 861536 1008904 1474552 2017808 2396147 2949104 4035616 4792294 5898208 9584588 19169176 38338352 76676704