77882349 has 16 divisors (see below), whose sum is σ = 109537280. Its totient is φ = 49086000.

The previous prime is 77882333. The next prime is 77882359. The reversal of 77882349 is 94328877.

It is not a de Polignac number, because 77882349 - 2⁴ = 77882333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77882298 and 77882307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77882359) 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, 33474 + ... + 35724.

It is an arithmetic number, because the mean of its divisors is an integer number (6846080).

Almost surely, 2^77882349 is an apocalyptic number.

It is an amenable number.

77882349 is a deficient number, since it is larger than the sum of its proper divisors (31654931).

77882349 is a wasteful number, since it uses less digits than its factorization.

77882349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880.

The product of its digits is 677376, while the sum is 48.

The square root of 77882349 is about 8825.0976765133. The cubic root of 77882349 is about 427.0509384611.

The spelling of 77882349 in words is "seventy-seven million, eight hundred eighty-two thousand, three hundred forty-nine".