840822400 has 96 divisors (see below), whose sum is σ = 2266015680. Its totient is φ = 305740800.

The previous prime is 840822391. The next prime is 840822401. The reversal of 840822400 is 4228048.

It is a super-3 number, since 3×840822400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (840822401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23257 + ... + 47143.

It is an arithmetic number, because the mean of its divisors is an integer number (23604330).

Almost surely, 2^840822400 is an apocalyptic number.

840822400 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 840822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133007840).

840822400 is an abundant number, since it is smaller than the sum of its proper divisors (1425193280).

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

840822400 is a wasteful number, since it uses less digits than its factorization.

840822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23922 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 840822400 is about 28996.9377693576. The cubic root of 840822400 is about 943.8466187647.

The spelling of 840822400 in words is "eight hundred forty million, eight hundred twenty-two thousand, four hundred".