77834120 has 64 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 24632064.

The previous prime is 77834117. The next prime is 77834129. The reversal of 77834120 is 2143877.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77834129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7052 + ... + 14331.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2^77834120 is an apocalyptic number.

77834120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77834120 is an abundant number, since it is smaller than the sum of its proper divisors (137716600).

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

77834120 is a wasteful number, since it uses less digits than its factorization.

77834120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21414 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 77834120 is about 8822.3647623526. The cubic root of 77834120 is about 426.9627691781.

Adding to 77834120 its reverse (2143877), we get a palindrome (79977997).

The spelling of 77834120 in words is "seventy-seven million, eight hundred thirty-four thousand, one hundred twenty".