77538 has 8 divisors (see below), whose sum is σ = 155088. Its totient is φ = 25844.

The previous prime is 77527. The next prime is 77543. The reversal of 77538 is 83577.

It is a sphenic number, since it is the product of 3 distinct primes.

77538 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6456 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (19386).

2⁷⁷⁵³⁸ is an apocalyptic number.

77538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (77544).

77538 is a wasteful number, since it uses less digits than its factorization.

77538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928.

The product of its digits is 5880, while the sum is 30.

The square root of 77538 is about 278.4564597922. The cubic root of 77538 is about 42.6420620944.

The spelling of 77538 in words is "seventy-seven thousand, five hundred thirty-eight".