82736780 has 48 divisors (see below), whose sum is σ = 199112256. Its totient is φ = 28289280.

The previous prime is 82736767. The next prime is 82736783. The reversal of 82736780 is 8763728.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82736783) 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, 77450 + ... + 78510.

It is an arithmetic number, because the mean of its divisors is an integer number (4148172).

Almost surely, 2^82736780 is an apocalyptic number.

82736780 is the 7427-th pentagonal number.

It is an amenable number.

82736780 is an abundant number, since it is smaller than the sum of its proper divisors (116375476).

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

82736780 is a wasteful number, since it uses less digits than its factorization.

82736780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 82736780 is about 9095.9760333897. The cubic root of 82736780 is about 435.7454606634.

The spelling of 82736780 in words is "eighty-two million, seven hundred thirty-six thousand, seven hundred eighty".