82760832 has 256 divisors, whose sum is σ = 305510400. Its totient is φ = 21427200.

The previous prime is 82760819. The next prime is 82760849. The reversal of 82760832 is 23806728.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265957 + ... + 266267.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^82760832 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 82760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

82760832 is an abundant number, since it is smaller than the sum of its proper divisors (222749568).

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

82760832 is a wasteful number, since it uses less digits than its factorization.

82760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82760832 is about 9097.2980604133. The cubic root of 82760832 is about 435.7876810415.

The spelling of 82760832 in words is "eighty-two million, seven hundred sixty thousand, eight hundred thirty-two".