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76804 = 22713211
BaseRepresentation
bin10010110000000100
310220100121
4102300010
54424204
61351324
7436630
oct226004
9126317
1076804
1152782
1238544
1328c60
141ddc0
1517b54
hex12c04

76804 has 24 divisors (see below), whose sum is σ = 166208. Its totient is φ = 30240.

The previous prime is 76801. The next prime is 76819. The reversal of 76804 is 40867.

It is not an unprimeable number, because it can be changed into a prime (76801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 469.

276804 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 76804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83104).

76804 is an abundant number, since it is smaller than the sum of its proper divisors (89404).

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

76804 is a wasteful number, since it uses less digits than its factorization.

76804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76804 is about 277.1353459954. The cubic root of 76804 is about 42.5070807118.

Subtracting from 76804 its reverse (40867), we obtain a cube (35937 = 333).

The spelling of 76804 in words is "seventy-six thousand, eight hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 211 364 422 844 1477 2743 2954 5486 5908 10972 19201 38402 76804