82077669 has 24 divisors (see below), whose sum is σ = 122728320. Its totient is φ = 52823232.

The previous prime is 82077647. The next prime is 82077679. The reversal of 82077669 is 96677028.

It is a happy number.

It is not a de Polignac number, because 82077669 - 2⁵ = 82077637 is a prime.

It is a super-2 number, since 2×82077669² = 13473487496947122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82077629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33252 + ... + 35634.

It is an arithmetic number, because the mean of its divisors is an integer number (5113680).

Almost surely, 2^82077669 is an apocalyptic number.

82077669 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

82077669 is a deficient number, since it is larger than the sum of its proper divisors (40650651).

82077669 is a wasteful number, since it uses less digits than its factorization.

82077669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 82077669 is about 9059.6726762064. The cubic root of 82077669 is about 434.5852725818.

It can be divided in two parts, 8207 and 7669, that added together give a square (15876 = 126²).

The spelling of 82077669 in words is "eighty-two million, seventy-seven thousand, six hundred sixty-nine".