76050 has 54 divisors (see below), whose sum is σ = 221247. Its totient is φ = 18720.
The previous prime is 76039. The next prime is 76079. The reversal of 76050 is 5067.
76050 is nontrivially palindromic in base 8.
It can be written as a sum of positive squares in 5 ways, for example, as 4761 + 71289 = 69^2 + 267^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=195.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 8.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76050.
It is an unprimeable number.
76050 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5844 + ... + 5856.
276050 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76050
76050 is an abundant number, since it is smaller than the sum of its proper divisors (145197).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76050 is a wasteful number, since it uses less digits than its factorization.
76050 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 18.
The square root of 76050 is about 275.7716446628. The cubic root of 76050 is about 42.3675228930.
Multiplying 76050 by its sum of digits (18), we get a square (1368900 = 11702).
76050 divided by its sum of digits (18) gives a square (4225 = 652).
The spelling of 76050 in words is "seventy-six thousand, fifty".
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