82207787844 has 432 divisors, whose sum is σ = 262066162176. Its totient is φ = 19877477760.

The previous prime is 82207787821. The next prime is 82207787867. The reversal of 82207787844 is 44878770228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82207787821) and next prime (82207787867).

It is a super-2 number, since 2×82207787844² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 143 ways as a sum of consecutive naturals, for example, 2651864109 + ... + 2651864139.

Almost surely, 2^82207787844 is an apocalyptic number.

82207787844 is a gapful number since it is divisible by the number (84) 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 82207787844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033081088).

82207787844 is an abundant number, since it is smaller than the sum of its proper divisors (179858374332).

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

82207787844 is a wasteful number, since it uses less digits than its factorization.

82207787844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 11239424, while the sum is 57.

The spelling of 82207787844 in words is "eighty-two billion, two hundred seven million, seven hundred eighty-seven thousand, eight hundred forty-four".