77006034 has 96 divisors (see below), whose sum is σ = 199165824. Its totient is φ = 21047040.

The previous prime is 77006023. The next prime is 77006057. The reversal of 77006034 is 43060077.

It is a junction number, because it is equal to n+sod(n) for n = 77005989 and 77006007.

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 47 ways as a sum of consecutive naturals, for example, 330382 + ... + 330614.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^77006034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77006034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912).

77006034 is an abundant number, since it is smaller than the sum of its proper divisors (122159790).

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

77006034 is a wasteful number, since it uses less digits than its factorization.

77006034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77006034 is about 8775.3081997158. The cubic root of 77006034 is about 425.4431990230.

The spelling of 77006034 in words is "seventy-seven million, six thousand, thirty-four".