822788979840 has 384 divisors, whose sum is σ = 2953235376000. Its totient is φ = 218903150592.

The previous prime is 822788979833. The next prime is 822788979949. The reversal of 822788979840 is 48979887228.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×822788979840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69822589 + ... + 69834371.

It is an arithmetic number, because the mean of its divisors is an integer number (7690717125).

Almost surely, 2^822788979840 is an apocalyptic number.

822788979840 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 822788979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476617688000).

822788979840 is an abundant number, since it is smaller than the sum of its proper divisors (2130446396160).

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

822788979840 is a wasteful number, since it uses less digits than its factorization.

822788979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12266 (or 12242 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 822788979840 in words is "eight hundred twenty-two billion, seven hundred eighty-eight million, nine hundred seventy-nine thousand, eight hundred forty".