77356052 has 36 divisors (see below), whose sum is σ = 146295324. Its totient is φ = 35773440.

The previous prime is 77356009. The next prime is 77356063. The reversal of 77356052 is 25065377.

It can be written as a sum of positive squares in 6 ways, for example, as 1073296 + 76282756 = 1036^2 + 8734^2 .

It is a super-4 number, since 4×77356052⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69968 + ... + 71064.

It is an arithmetic number, because the mean of its divisors is an integer number (4063759).

Almost surely, 2^77356052 is an apocalyptic number.

It is an amenable number.

77356052 is a deficient number, since it is larger than the sum of its proper divisors (68939272).

77356052 is a wasteful number, since it uses less digits than its factorization.

77356052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 77356052 is about 8795.2289339164. The cubic root of 77356052 is about 426.0868183975.

The spelling of 77356052 in words is "seventy-seven million, three hundred fifty-six thousand, fifty-two".