77782050 has 36 divisors (see below), whose sum is σ = 208975650. Its totient is φ = 20741760.

The previous prime is 77782049. The next prime is 77782093. The reversal of 77782050 is 5028777.

It can be written as a sum of positive squares in 3 ways, for example, as 42889401 + 34892649 = 6549^2 + 5907^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77781996 and 77782014.

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 17 ways as a sum of consecutive naturals, for example, 85975 + ... + 86874.

Almost surely, 2^77782050 is an apocalyptic number.

77782050 is an abundant number, since it is smaller than the sum of its proper divisors (131193600).

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

77782050 is a wasteful number, since it uses less digits than its factorization.

77782050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172867 (or 172859 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 77782050 is about 8819.4132457891. The cubic root of 77782050 is about 426.8675371176.

The spelling of 77782050 in words is "seventy-seven million, seven hundred eighty-two thousand, fifty".