82277832 has 128 divisors (see below), whose sum is σ = 256354560. Its totient is φ = 21427200.

The previous prime is 82277827. The next prime is 82277851. The reversal of 82277832 is 23877228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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, 220398 + ... + 220770.

It is an arithmetic number, because the mean of its divisors is an integer number (2002770).

Almost surely, 2^82277832 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 82277832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128177280).

82277832 is an abundant number, since it is smaller than the sum of its proper divisors (174076728).

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

82277832 is a wasteful number, since it uses less digits than its factorization.

82277832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 82277832 is about 9070.7128716546. The cubic root of 82277832 is about 434.9382604939.

The spelling of 82277832 in words is "eighty-two million, two hundred seventy-seven thousand, eight hundred thirty-two".