77438106 has 40 divisors (see below), whose sum is σ = 174261780. Its totient is φ = 25702272.

The previous prime is 77438083. The next prime is 77438173. The reversal of 77438106 is 60183477.

It can be written as a sum of positive squares in 2 ways, for example, as 72335025 + 5103081 = 8505^2 + 2259^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42690 + ... + 44466.

Almost surely, 2^77438106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77438106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87130890).

77438106 is an abundant number, since it is smaller than the sum of its proper divisors (96823674).

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

77438106 is a wasteful number, since it uses less digits than its factorization.

77438106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77438106 is about 8799.8923857056. The cubic root of 77438106 is about 426.2374197289.

The spelling of 77438106 in words is "seventy-seven million, four hundred thirty-eight thousand, one hundred six".