77838930 has 48 divisors (see below), whose sum is σ = 217952280. Its totient is φ = 19160064.

The previous prime is 77838919. The next prime is 77838931. The reversal of 77838930 is 3983877.

It can be written as a sum of positive squares in 4 ways, for example, as 61168041 + 16670889 = 7821^2 + 4083^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77838931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32095 + ... + 34434.

Almost surely, 2^77838930 is an apocalyptic number.

77838930 is an abundant number, since it is smaller than the sum of its proper divisors (140113350).

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

77838930 is a wasteful number, since it uses less digits than its factorization.

77838930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66555 (or 66552 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 77838930 is about 8822.6373607896. The cubic root of 77838930 is about 426.9715641582.

The spelling of 77838930 in words is "seventy-seven million, eight hundred thirty-eight thousand, nine hundred thirty".