77834052 has 18 divisors (see below), whose sum is σ = 196747278. Its totient is φ = 25944672.

The previous prime is 77834027. The next prime is 77834063. The reversal of 77834052 is 25043877.

It can be written as a sum of positive squares in only one way, i.e., 77686596 + 147456 = 8814^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2162057 = 77834052 / (7 + 7 + 8 + 3 + 4 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 77833998 and 77834016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080993 + ... + 1081064.

Almost surely, 2^77834052 is an apocalyptic number.

It is an amenable number.

77834052 is an abundant number, since it is smaller than the sum of its proper divisors (118913226).

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

77834052 is a wasteful number, since it uses less digits than its factorization.

77834052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162067 (or 2162062 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 77834052 is about 8822.3609085097. The cubic root of 77834052 is about 426.9626448390.

The spelling of 77834052 in words is "seventy-seven million, eight hundred thirty-four thousand, fifty-two".