76545 has 32 divisors (see below), whose sum is σ = 157440. Its totient is φ = 34992.

The previous prime is 76543. The next prime is 76561. The reversal of 76545 is 54567.

76545 is a *`hidden beast`* number, since 7 + 654 + 5 = 666.

76545 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 76545 - 2^{1} = 76543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (4200) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (76541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10932 + ... + 10938.

It is an arithmetic number, because the mean of its divisors is an integer number (4920).

2^{76545} is an apocalyptic number.

It is an amenable number.

76545 is an abundant number, since it is smaller than the sum of its proper divisors (80895).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78720).

76545 is an frugal number, since it uses more digits than its factorization.

76545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 15 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 76545 is about 276.6676706809. The cubic root of 76545 is about 42.4592458228.

The spelling of 76545 in words is "seventy-six thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2187 2835 3645 5103 8505 10935 15309 25515 76545

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