77528058 has 16 divisors (see below), whose sum is σ = 164177280. Its totient is φ = 24322496.

The previous prime is 77528053. The next prime is 77528063. The reversal of 77528058 is 85082577.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77528053) and next prime (77528063).

It is a super-3 number, since 3×77528058³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (77528053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379938 + ... + 380141.

It is an arithmetic number, because the mean of its divisors is an integer number (10261080).

Almost surely, 2^77528058 is an apocalyptic number.

77528058 is an abundant number, since it is smaller than the sum of its proper divisors (86649222).

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

77528058 is a wasteful number, since it uses less digits than its factorization.

77528058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760101.

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 77528058 is about 8805.0018739351. The cubic root of 77528058 is about 426.4023948053.

The spelling of 77528058 in words is "seventy-seven million, five hundred twenty-eight thousand, fifty-eight".