822272976 has 120 divisors (see below), whose sum is σ = 2653609920. Its totient is φ = 232823808.

The previous prime is 822272959. The next prime is 822272981. The reversal of 822272976 is 679272228.

It is a super-2 number, since 2×822272976² = 1352265694119793152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 110295 + ... + 117513.

It is an arithmetic number, because the mean of its divisors is an integer number (22113416).

Almost surely, 2^822272976 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 822272976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326804960).

822272976 is an abundant number, since it is smaller than the sum of its proper divisors (1831336944).

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

822272976 is a wasteful number, since it uses less digits than its factorization.

822272976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7344 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 822272976 is about 28675.3025441755. The cubic root of 822272976 is about 936.8541950205.

The spelling of 822272976 in words is "eight hundred twenty-two million, two hundred seventy-two thousand, nine hundred seventy-six".