77210034 has 64 divisors (see below), whose sum is σ = 185103360. Its totient is φ = 21193920.

The previous prime is 77210033. The next prime is 77210047. The reversal of 77210034 is 43001277.

It is a super-2 number, since 2×77210034² = 11922778700562312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77209986 and 77210013.

It is not an unprimeable number, because it can be changed into a prime (77210033) by changing a digit.

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, 27504 + ... + 30180.

It is an arithmetic number, because the mean of its divisors is an integer number (2892240).

Almost surely, 2^77210034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77210034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92551680).

77210034 is an abundant number, since it is smaller than the sum of its proper divisors (107893326).

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

77210034 is a wasteful number, since it uses less digits than its factorization.

77210034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 77210034 is about 8786.9240351786. The cubic root of 77210034 is about 425.8185543929.

The spelling of 77210034 in words is "seventy-seven million, two hundred ten thousand, thirty-four".