77834000 has 40 divisors (see below), whose sum is σ = 188207448. Its totient is φ = 31132800.

The previous prime is 77833993. The next prime is 77834011. The reversal of 77834000 is 43877.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 63936016 = 3728^2 + 7996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17459 + ... + 21458.

Almost surely, 2^77834000 is an apocalyptic number.

It is an amenable number.

77834000 is an abundant number, since it is smaller than the sum of its proper divisors (110373448).

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

77834000 is a wasteful number, since it uses less digits than its factorization.

77834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38940 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 77834000 is about 8822.3579614523. The cubic root of 77834000 is about 426.9625497561.

Adding to 77834000 its reverse (43877), we get a palindrome (77877877).

The spelling of 77834000 in words is "seventy-seven million, eight hundred thirty-four thousand".