830777505 has 32 divisors (see below), whose sum is σ = 1409405184. Its totient is φ = 416434176.

The previous prime is 830777417. The next prime is 830777513. The reversal of 830777505 is 505777038.

It is not a de Polignac number, because 830777505 - 2⁷ = 830777377 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 224349 + ... + 228021.

It is an arithmetic number, because the mean of its divisors is an integer number (44043912).

Almost surely, 2^830777505 is an apocalyptic number.

830777505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

830777505 is a deficient number, since it is larger than the sum of its proper divisors (578627679).

830777505 is a wasteful number, since it uses less digits than its factorization.

830777505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585.

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 830777505 is about 28823.2112194322. The cubic root of 830777505 is about 940.0729930492.

The spelling of 830777505 in words is "eight hundred thirty million, seven hundred seventy-seven thousand, five hundred five".