77058 has 16 divisors (see below), whose sum is σ = 171360. Its totient is φ = 25668.

The previous prime is 77047. The next prime is 77069. The reversal of 77058 is 85077.

It is an interprime number because it is at equal distance from previous prime (77047) and next prime (77069).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2⁷⁷⁰⁵⁸ is an apocalyptic number.

77058 is an abundant number, since it is smaller than the sum of its proper divisors (94302).

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 (85680).

77058 is a wasteful number, since it uses less digits than its factorization.

77058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 77058 is about 277.5932275831. The cubic root of 77058 is about 42.5538878148.

It can be divided in two parts, 770 and 58, that added together give a palindrome (828).

The spelling of 77058 in words is "seventy-seven thousand, fifty-eight".