822278400 has 216 divisors, whose sum is σ = 2744928480. Its totient is φ = 216760320.

The previous prime is 822278377. The next prime is 822278407. The reversal of 822278400 is 4872228.

It is a super-2 number, since 2×822278400² = 1352283534213120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822278407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169411 + ... + 2169789.

Almost surely, 2^822278400 is an apocalyptic number.

822278400 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 822278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372464240).

822278400 is an abundant number, since it is smaller than the sum of its proper divisors (1922650080).

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

822278400 is a wasteful number, since it uses less digits than its factorization.

822278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 822278400 is about 28675.3971201795. The cubic root of 822278400 is about 936.8562549552.

The spelling of 822278400 in words is "eight hundred twenty-two million, two hundred seventy-eight thousand, four hundred".