77135400 has 72 divisors (see below), whose sum is σ = 259052430. Its totient is φ = 20568960.

The previous prime is 77135393. The next prime is 77135423. The reversal of 77135400 is 453177.

It can be written as a sum of positive squares in 3 ways, for example, as 75377124 + 1758276 = 8682^2 + 1326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19627 + ... + 23226.

Almost surely, 2^77135400 is an apocalyptic number.

It is an amenable number.

77135400 is an abundant number, since it is smaller than the sum of its proper divisors (181917030).

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

77135400 is a wasteful number, since it uses less digits than its factorization.

77135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42875 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77135400 is about 8782.6761297454. The cubic root of 77135400 is about 425.6813063095.

Adding to 77135400 its reverse (453177), we get a palindrome (77588577).

The spelling of 77135400 in words is "seventy-seven million, one hundred thirty-five thousand, four hundred".