82077630 has 16 divisors (see below), whose sum is σ = 196986384. Its totient is φ = 21887360.

The previous prime is 82077629. The next prime is 82077631. The reversal of 82077630 is 3677028.

It is an interprime number because it is at equal distance from previous prime (82077629) and next prime (82077631).

It is a junction number, because it is equal to n+sod(n) for n = 82077591 and 82077600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82077631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1367931 + ... + 1367990.

It is an arithmetic number, because the mean of its divisors is an integer number (12311649).

Almost surely, 2^82077630 is an apocalyptic number.

82077630 is an abundant number, since it is smaller than the sum of its proper divisors (114908754).

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

82077630 is a wasteful number, since it uses less digits than its factorization.

82077630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735931.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 82077630 is about 9059.6705238105. The cubic root of 82077630 is about 434.5852037493.

The spelling of 82077630 in words is "eighty-two million, seventy-seven thousand, six hundred thirty".