82276992 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 22146048.

The previous prime is 82276979. The next prime is 82276993. The reversal of 82276992 is 29967228.

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

It is not an unprimeable number, because it can be changed into a prime (82276993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459559 + ... + 459737.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^82276992 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 82276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

82276992 is an abundant number, since it is smaller than the sum of its proper divisors (211483008).

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

82276992 is a wasteful number, since it uses less digits than its factorization.

82276992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 82276992 is about 9070.6665686707. Note that the first 3 decimals coincide. The cubic root of 82276992 is about 434.9367803488.

The spelling of 82276992 in words is "eighty-two million, two hundred seventy-six thousand, nine hundred ninety-two".