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76830 = 23513197
BaseRepresentation
bin10010110000011110
310220101120
4102300132
54424310
61351410
7436665
oct226036
9126346
1076830
11527a6
1238566
1328c80
141dddc
1517b70
hex12c1e

76830 has 32 divisors (see below), whose sum is σ = 199584. Its totient is φ = 18816.

The previous prime is 76829. The next prime is 76831. The reversal of 76830 is 3867.

It is an interprime number because it is at equal distance from previous prime (76829) and next prime (76831).

It is a self number, because there is not a number n which added to its sum of digits gives 76830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (6237).

276830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

76830 is an abundant number, since it is smaller than the sum of its proper divisors (122754).

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

76830 is a wasteful number, since it uses less digits than its factorization.

76830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 76830 is about 277.1822505140. The cubic root of 76830 is about 42.5118767268.

The spelling of 76830 in words is "seventy-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 390 394 591 985 1182 1970 2561 2955 5122 5910 7683 12805 15366 25610 38415 76830