77838740 has 48 divisors (see below), whose sum is σ = 187324032. Its totient is φ = 26614656.

The previous prime is 77838731. The next prime is 77838743. The reversal of 77838740 is 4783877.

It is a junction number, because it is equal to n+sod(n) for n = 77838691 and 77838700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77838743) 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 15 ways as a sum of consecutive naturals, for example, 85367 + ... + 86273.

It is an arithmetic number, because the mean of its divisors is an integer number (3902584).

Almost surely, 2^77838740 is an apocalyptic number.

77838740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77838740 is an abundant number, since it is smaller than the sum of its proper divisors (109485292).

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

77838740 is a wasteful number, since it uses less digits than its factorization.

77838740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The square root of 77838740 is about 8822.6265930277. The cubic root of 77838740 is about 426.9712167542.

The spelling of 77838740 in words is "seventy-seven million, eight hundred thirty-eight thousand, seven hundred forty".