822996720 has 640 divisors, whose sum is σ = 3599769600. Its totient is φ = 168210432.

The previous prime is 822996719. The next prime is 822996749. The reversal of 822996720 is 27699228.

It is a super-2 number, since 2×822996720² = 1354647202261516800, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10417641 + ... + 10417719.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^822996720 is an apocalyptic number.

822996720 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 822996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

822996720 is an abundant number, since it is smaller than the sum of its proper divisors (2776772880).

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

822996720 is a wasteful number, since it uses less digits than its factorization.

822996720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

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

The square root of 822996720 is about 28687.9194086988. The cubic root of 822996720 is about 937.1289795861.

The spelling of 822996720 in words is "eight hundred twenty-two million, nine hundred ninety-six thousand, seven hundred twenty".