822798000 has 240 divisors, whose sum is σ = 2981954976. Its totient is φ = 219283200.

The previous prime is 822797993. The next prime is 822798017. The reversal of 822798000 is 897228.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485154 + ... + 486846.

Almost surely, 2^822798000 is an apocalyptic number.

822798000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490977488).

822798000 is an abundant number, since it is smaller than the sum of its proper divisors (2159156976).

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

822798000 is a wasteful number, since it uses less digits than its factorization.

822798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 822798000 is about 28684.4557208255. The cubic root of 822798000 is about 937.0535474259.

The spelling of 822798000 in words is "eight hundred twenty-two million, seven hundred ninety-eight thousand".