82760760 has 96 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 20769792.

The previous prime is 82760759. The next prime is 82760771. The reversal of 82760760 is 6706728.

82760760 = 715² + 716² + ... + 849².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642 + ... + 12881.

Almost surely, 2^82760760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

82760760 is an abundant number, since it is smaller than the sum of its proper divisors (202054680).

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

82760760 is a wasteful number, since it uses less digits than its factorization.

82760760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557 (or 13550 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 82760760 is about 9097.2941031935. The cubic root of 82760760 is about 435.7875546664.

The spelling of 82760760 in words is "eighty-two million, seven hundred sixty thousand, seven hundred sixty".