77138010 has 48 divisors (see below), whose sum is σ = 212360616. Its totient is φ = 19359744.

The previous prime is 77138003. The next prime is 77138011. The reversal of 77138010 is 1083177.

It can be written as a sum of positive squares in 4 ways, for example, as 65173329 + 11964681 = 8073^2 + 3459^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77138011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23679 + ... + 26738.

Almost surely, 2^77138010 is an apocalyptic number.

77138010 is an abundant number, since it is smaller than the sum of its proper divisors (135222606).

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

77138010 is a wasteful number, since it uses less digits than its factorization.

77138010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50447 (or 50444 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 77138010 is about 8782.8247164565. The cubic root of 77138010 is about 425.6861074586.

It can be divided in two parts, 771 and 38010, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 77138010 in words is "seventy-seven million, one hundred thirty-eight thousand, ten".