82863760 has 80 divisors (see below), whose sum is σ = 223307136. Its totient is φ = 28007424.

The previous prime is 82863749. The next prime is 82863761. The reversal of 82863760 is 6736828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82863761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39867 + ... + 41893.

Almost surely, 2^82863760 is an apocalyptic number.

82863760 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 82863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111653568).

82863760 is an abundant number, since it is smaller than the sum of its proper divisors (140443376).

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

82863760 is a wasteful number, since it uses less digits than its factorization.

82863760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 82863760 is about 9102.9533669024. The cubic root of 82863760 is about 435.9682663546.

The spelling of 82863760 in words is "eighty-two million, eight hundred sixty-three thousand, seven hundred sixty".