822075120 has 240 divisors, whose sum is σ = 2987487360. Its totient is φ = 201793536.

The previous prime is 822075061. The next prime is 822075127. The reversal of 822075120 is 21570228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822075127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574566 + ... + 575994.

It is an arithmetic number, because the mean of its divisors is an integer number (12447864).

Almost surely, 2^822075120 is an apocalyptic number.

822075120 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 822075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493743680).

822075120 is an abundant number, since it is smaller than the sum of its proper divisors (2165412240).

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

822075120 is a wasteful number, since it uses less digits than its factorization.

822075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 822075120 is about 28671.8523991737. The cubic root of 822075120 is about 936.7790467837.

The spelling of 822075120 in words is "eight hundred twenty-two million, seventy-five thousand, one hundred twenty".