10777434 has 32 divisors (see below), whose sum is σ = 22672320. Its totient is φ = 3411072.

The previous prime is 10777433. The next prime is 10777447. The reversal of 10777434 is 43477701.

10777434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10777395 and 10777404.

It is not an unprimeable number, because it can be changed into a prime (10777433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8982 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (708510).

Almost surely, 2^10777434 is an apocalyptic number.

10777434 is an abundant number, since it is smaller than the sum of its proper divisors (11894886).

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

10777434 is a wasteful number, since it uses less digits than its factorization.

10777434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214.

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 10777434 is about 3282.9002421639. The cubic root of 10777434 is about 220.8878309864.

It can be divided in two parts, 10777 and 434, that added together give a palindrome (11211).

The spelling of 10777434 in words is "ten million, seven hundred seventy-seven thousand, four hundred thirty-four".