77505834 has 32 divisors (see below), whose sum is σ = 177762816. Its totient is φ = 22068720.

The previous prime is 77505821. The next prime is 77505851. The reversal of 77505834 is 43850577.

It is a junction number, because it is equal to n+sod(n) for n = 77505792 and 77505801.

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 15 ways as a sum of consecutive naturals, for example, 9889 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (5555088).

Almost surely, 2^77505834 is an apocalyptic number.

77505834 is an abundant number, since it is smaller than the sum of its proper divisors (100256982).

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

77505834 is a wasteful number, since it uses less digits than its factorization.

77505834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 77505834 is about 8803.7397735281. The cubic root of 77505834 is about 426.3616470954.

The spelling of 77505834 in words is "seventy-seven million, five hundred five thousand, eight hundred thirty-four".