82763760 has 80 divisors (see below), whose sum is σ = 260447616. Its totient is φ = 21736704.

The previous prime is 82763713. The next prime is 82763761. The reversal of 82763760 is 6736728.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82763761) 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, 13507 + ... + 18653.

Almost surely, 2^82763760 is an apocalyptic number.

82763760 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 82763760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223808).

82763760 is an abundant number, since it is smaller than the sum of its proper divisors (177683856).

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

82763760 is a wasteful number, since it uses less digits than its factorization.

82763760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 82763760 is about 9097.4589858927. The cubic root of 82763760 is about 435.7928202330.

The spelling of 82763760 in words is "eighty-two million, seven hundred sixty-three thousand, seven hundred sixty".