77325 has 12 divisors (see below), whose sum is σ = 127968. Its totient is φ = 41200.

The previous prime is 77323. The next prime is 77339. The reversal of 77325 is 52377.

It is not a de Polignac number, because 77325 - 2¹ = 77323 is a prime.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 77295 and 77304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77325.

It is not an unprimeable number, because it can be changed into a prime (77323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (10664).

2⁷⁷³²⁵ is an apocalyptic number.

77325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77325 is a deficient number, since it is larger than the sum of its proper divisors (50643).

77325 is a wasteful number, since it uses less digits than its factorization.

77325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 77325 is about 278.0737312297. The cubic root of 77325 is about 42.6029797999.

Subtracting from 77325 its product of digits (1470), we obtain a triangular number (75855 = T₃₈₉).

The spelling of 77325 in words is "seventy-seven thousand, three hundred twenty-five".