822806087040 has 1920 divisors, whose sum is σ = 3625301560320. Its totient is φ = 177770557440.

The previous prime is 822806087029. The next prime is 822806087069. The reversal of 822806087040 is 40780608228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×822806087040³ (a number of 37 digits) contains 333 as substring.

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 239 ways as a sum of consecutive naturals, for example, 19135025259 + ... + 19135025301.

It is an arithmetic number, because the mean of its divisors is an integer number (1888177896).

Almost surely, 2^822806087040 is an apocalyptic number.

822806087040 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 822806087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812650780160).

822806087040 is an abundant number, since it is smaller than the sum of its proper divisors (2802495473280).

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

822806087040 is an frugal number, since it uses more digits than its factorization.

822806087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 822806087040 in words is "eight hundred twenty-two billion, eight hundred six million, eighty-seven thousand, forty".