822828960 has 72 divisors (see below), whose sum is σ = 2807908740. Its totient is φ = 219420672.

The previous prime is 822828913. The next prime is 822828989. The reversal of 822828960 is 69828228.

It can be written as a sum of positive squares in 2 ways, for example, as 804062736 + 18766224 = 28356^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284265 + ... + 287144.

Almost surely, 2^822828960 is an apocalyptic number.

822828960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

822828960 is an abundant number, since it is smaller than the sum of its proper divisors (1985079780).

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

822828960 is a wasteful number, since it uses less digits than its factorization.

822828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571430 (or 571419 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 822828960 is about 28684.9953808607. The cubic root of 822828960 is about 937.0653003364.

The spelling of 822828960 in words is "eight hundred twenty-two million, eight hundred twenty-eight thousand, nine hundred sixty".