82763360 has 48 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 32836608.

The previous prime is 82763341. The next prime is 82763383. The reversal of 82763360 is 6336728.

It is a self number, because there is not a number n which added to its sum of digits gives 82763360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18284 + ... + 22356.

It is an arithmetic number, because the mean of its divisors is an integer number (4106592).

Almost surely, 2^82763360 is an apocalyptic number.

82763360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

82763360 is an abundant number, since it is smaller than the sum of its proper divisors (114353056).

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

82763360 is a wasteful number, since it uses less digits than its factorization.

82763360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 82763360 is about 9097.4370017055. The cubic root of 82763360 is about 435.7921181648.

The spelling of 82763360 in words is "eighty-two million, seven hundred sixty-three thousand, three hundred sixty".